Task: Arithmetic-Relationship (source dataset: Auto-Relate)

You are given a table with numerical values in multiple columns. Your task is to analyze the data and identify semantic relationships, expressed in arithmetic relationships, that exist between columns.

These relationships may involve any combination of the following operations: addition (+), subtraction (−), multiplication (*), and division (/). The expressions can involve two or more columns and may be nested (e.g., B = (A + C) / D).

Please only identify arithmetic relationships that hold semantically based on the data, and do not return relationships that are likely spurious, e.g., (A = B * 0), where A is an all 0 column. Please only return minimal atomic relationships, e.g., if A = B + C and D = E + F, then there is no need to return A = B + C + E + F - D.

No explanation, return all the formula(s) in JSON format: {"Arithmetic-Relationship": [<list-of-formulas>]}. If no relationship is found, return {"Arithmetic-Relationship": []}.

Input Table:
|   A | B                                  | C        |           D |           E |           F |              G |                H |                I |                J |           K |           L |           M |              N |
|----:|:-----------------------------------|:---------|------------:|------------:|------------:|---------------:|-----------------:|-----------------:|-----------------:|------------:|------------:|------------:|---------------:|
|   1 | Accomack                           | Eastern  | 4.83431e+07 | 2.44394e+07 | 2.38058e+07 |  97823.7       |      1.78593e+06 |      1.16085e+06 | 625074           | 4.65572e+07 | 2.32786e+07 | 2.31808e+07 |  97823.7       |
|   3 | Albemarle                          | Piedmont | 5.61008e+07 | 2.85278e+07 | 2.72438e+07 | 329259         |      3.18271e+06 |      2.06876e+06 |      1.11395e+06 | 5.29181e+07 | 2.64591e+07 | 2.61298e+07 | 329259         |
|   5 | Alleghany/Covington                | Piedmont | 3.0078e+07  | 1.51757e+07 | 1.48391e+07 |  63152.3       | 911617           | 592551           | 319066           | 2.91664e+07 | 1.45832e+07 | 1.452e+07   |  63152.3       |
|   9 | Amherst                            | Piedmont | 4.04958e+07 | 2.05081e+07 | 1.98984e+07 |  89334.3       |      1.73471e+06 |      1.12756e+06 | 607147           | 3.87611e+07 | 1.93806e+07 | 1.92912e+07 |  89334.3       |
|  11 | Appomattox                         | Piedmont | 2.0789e+07  | 1.05252e+07 | 1.02308e+07 |  33018.1       | 871143           | 566243           | 304900           | 1.99179e+07 | 9.95893e+06 | 9.92591e+06 |  33018.1       |
|  13 | Arlington                          | Northern | 9.31469e+07 | 4.73293e+07 | 4.55441e+07 | 273466         |      5.03894e+06 |      3.27531e+06 |      1.76363e+06 | 8.81079e+07 | 4.4054e+07  | 4.37805e+07 | 273466         |
|  15 | Augusta/ Staunton/ Waynesboro      | Piedmont | 1.1488e+08  | 5.81849e+07 | 5.64132e+07 | 281554         |      4.96724e+06 |      3.22871e+06 |      1.73854e+06 | 1.09912e+08 | 5.49562e+07 | 5.46746e+07 | 281554         |
|  19 | Bedford                            | Piedmont | 6.23883e+07 | 3.15522e+07 | 3.07717e+07 |  64345.3       |      2.38718e+06 |      1.55167e+06 | 835514           | 6.00011e+07 | 3.00006e+07 | 2.99362e+07 |  64345.3       |
|  21 | Bland                              | Western  | 6.17443e+06 | 3.12195e+06 | 3.04201e+06 |  10468.4       | 231576           | 150525           |  81051.7         | 5.94285e+06 | 2.97142e+06 | 2.96096e+06 |  10468.4       |
|  23 | Botetourt                          | Piedmont | 2.22276e+07 | 1.12067e+07 | 1.09864e+07 |  34455.7       | 619606           | 402744           | 216862           | 2.1608e+07  | 1.0804e+07  | 1.07695e+07 |  34455.7       |
|  25 | Brunswick                          | Eastern  | 2.95494e+07 | 1.48699e+07 | 1.46581e+07 |  21388.5       | 634851           | 412653           | 222198           | 2.89145e+07 | 1.44573e+07 | 1.44359e+07 |  21388.5       |
|  27 | Buchanan                           | Western  | 3.52534e+07 | 1.78002e+07 | 1.73583e+07 |  94819.5       |      1.15683e+06 | 751941           | 404891           | 3.40965e+07 | 1.70483e+07 | 1.69535e+07 |  94819.5       |
|  29 | Buckingham                         | Central  | 2.09159e+07 | 1.0553e+07  | 1.03329e+07 |  30031.9       | 633619           | 411852           | 221766           | 2.02823e+07 | 1.01411e+07 | 1.01111e+07 |  30031.9       |
|  31 | Campbell                           | Piedmont | 6.54524e+07 | 3.3102e+07  | 3.2179e+07  | 171345         |      2.50541e+06 |      1.62852e+06 | 876893           | 6.2947e+07  | 3.14735e+07 | 3.13021e+07 | 171345         |
|  33 | Caroline                           | Central  | 2.89638e+07 | 1.46853e+07 | 1.4186e+07  |  92513.4       |      1.35574e+06 | 881231           | 474509           | 2.76081e+07 | 1.3804e+07  | 1.37115e+07 |  92513.4       |
|  35 | Carroll                            | Western  | 4.1676e+07  | 2.10745e+07 | 2.05013e+07 | 100297         |      1.57625e+06 |      1.02457e+06 | 551689           | 4.00998e+07 | 2.00499e+07 | 1.99496e+07 | 100297         |
|  37 | Charlotte                          | Piedmont | 1.7715e+07  | 8.93419e+06 | 8.747e+06   |  33838.1       | 511172           | 332262           | 178910           | 1.72039e+07 | 8.60193e+06 | 8.56809e+06 |  33838.1       |
|  41 | Chesterfield/Colonial Heights      | Central  | 2.6702e+08  | 1.35236e+08 | 1.31475e+08 | 309108         |      1.1506e+07  |      7.47892e+06 |      4.02711e+06 | 2.55514e+08 | 1.27757e+08 | 1.27448e+08 | 309108         |
|  47 | Culpeper                           | Northern | 4.62126e+07 | 2.34723e+07 | 2.24902e+07 | 250158         |      2.43962e+06 |      1.58575e+06 | 853867           | 4.3773e+07  | 2.18865e+07 | 2.16364e+07 | 250158         |
|  49 | Cumberland                         | Central  | 1.64781e+07 | 8.30756e+06 | 8.12927e+06 |  41309.6       | 456616           | 296801           | 159816           | 1.60215e+07 | 8.01076e+06 | 7.96945e+06 |  41309.6       |
|  51 | Dickenson                          | Western  | 2.37111e+07 | 1.19802e+07 | 1.16086e+07 | 122431         | 830562           | 539865           | 290697           | 2.28806e+07 | 1.14403e+07 | 1.13179e+07 | 122431         |
|  53 | Dinwiddie                          | Eastern  | 3.29623e+07 | 1.66338e+07 | 1.62195e+07 | 109082         |      1.01748e+06 | 661363           | 356119           | 3.19448e+07 | 1.59724e+07 | 1.58633e+07 | 109082         |
|  57 | Essex                              | Central  | 1.50816e+07 | 7.62641e+06 | 7.33335e+06 | 121880         | 570591           | 370884           | 199707           | 1.45111e+07 | 7.25553e+06 | 7.13365e+06 | 121880         |
|  59 | Fairfax Co./ City/ Falls Church    | Northern | 5.14994e+08 | 2.62637e+08 | 2.51272e+08 |      1.084e+06 |      3.42694e+07 |      2.22751e+07 |      1.19943e+07 | 4.80724e+08 | 2.40362e+08 | 2.39278e+08 |      1.084e+06 |
|  61 | Fauquier                           | Northern | 4.28107e+07 | 2.16807e+07 | 2.09735e+07 | 156536         |      1.83533e+06 |      1.19296e+06 | 642365           | 4.09754e+07 | 2.04877e+07 | 2.03312e+07 | 156536         |
|  63 | Floyd                              | Western  | 1.71119e+07 | 8.70873e+06 | 8.38404e+06 |  19101.5       |      1.01862e+06 | 662104           | 356517           | 1.60932e+07 | 8.04662e+06 | 8.02752e+06 |  19101.5       |
|  65 | Fluvanna                           | Central  | 1.62411e+07 | 8.26284e+06 | 7.92984e+06 |  48433.6       | 948562           | 616565           | 331997           | 1.52926e+07 | 7.64628e+06 | 7.59785e+06 |  48433.6       |
|  67 | Franklin Co.                       | Piedmont | 5.86542e+07 | 2.96198e+07 | 2.8831e+07  | 203432         |      1.95134e+06 |      1.26837e+06 | 682969           | 5.67029e+07 | 2.83514e+07 | 2.8148e+07  | 203432         |
|  69 | Frederick                          | Northern | 5.31152e+07 | 2.70114e+07 | 2.60495e+07 |  54284.7       |      3.02528e+06 |      1.96643e+06 |      1.05885e+06 | 5.00899e+07 | 2.50449e+07 | 2.49907e+07 |  54284.7       |
|  71 | Giles                              | Western  | 2.13034e+07 | 1.07678e+07 | 1.05249e+07 |  10726.7       | 774227           | 503247           | 270979           | 2.05292e+07 | 1.02646e+07 | 1.02539e+07 |  10726.7       |
|  73 | Gloucester                         | Eastern  | 3.28192e+07 | 1.66261e+07 | 1.61313e+07 |  61846.8       |      1.44306e+06 | 937990           | 505072           | 3.13762e+07 | 1.56881e+07 | 1.56262e+07 |  61846.8       |
|  75 | Goochland                          | Central  | 1.20259e+07 | 6.07487e+06 | 5.91424e+06 |  36801.9       | 412740           | 268281           | 144459           | 1.16132e+07 | 5.80658e+06 | 5.76978e+06 |  36801.9       |
|  77 | Grayson                            | Western  | 2.22612e+07 | 1.12675e+07 | 1.09597e+07 |  34000.8       | 912384           | 593050           | 319335           | 2.13488e+07 | 1.06744e+07 | 1.06404e+07 |  34000.8       |
|  79 | Greene                             | Northern | 1.68312e+07 | 8.55725e+06 | 8.2529e+06  |  21085.1       | 944215           | 613740           | 330475           | 1.5887e+07  | 7.94351e+06 | 7.92242e+06 |  21085.1       |
|  81 | Greensville/ Emporia               | Eastern  | 3.37442e+07 | 1.69939e+07 | 1.67137e+07 |  36648.8       | 811790           | 527663           | 284126           | 3.29324e+07 | 1.64662e+07 | 1.64296e+07 |  36648.8       |
|  83 | Halifax/ So. Boston                | Piedmont | 5.9903e+07  | 3.01592e+07 | 2.96606e+07 |  83301         |      1.38435e+06 | 899824           | 484521           | 5.85187e+07 | 2.92593e+07 | 2.9176e+07  |  83301         |
|  85 | Hanover                            | Central  | 5.40147e+07 | 2.73516e+07 | 2.6511e+07  | 152062         |      2.29513e+06 |      1.49184e+06 | 803296           | 5.17196e+07 | 2.58598e+07 | 2.57077e+07 | 152062         |
|  87 | Henrico                            | Central  | 2.651e+08   | 1.34321e+08 | 1.30319e+08 | 460406         |      1.18054e+07 |      7.6735e+06  |      4.13188e+06 | 2.53295e+08 | 1.26647e+08 | 1.26187e+08 | 460406         |
|  89 | Henry/Martinsville                 | Piedmont | 1.18213e+08 | 5.96085e+07 | 5.85399e+07 |  65084.9       |      3.34509e+06 |      2.17431e+06 |      1.17078e+06 | 1.14868e+08 | 5.74342e+07 | 5.73691e+07 |  65084.9       |
|  93 | Isle Of Wight                      | Eastern  | 3.16028e+07 | 1.59465e+07 | 1.56299e+07 |  26400.4       | 967594           | 628936           | 338658           | 3.06352e+07 | 1.53176e+07 | 1.52912e+07 |  26400.4       |
|  95 | James City                         | Eastern  | 2.81196e+07 | 1.42828e+07 | 1.3789e+07  |  47797.3       |      1.48678e+06 | 966408           | 520373           | 2.66328e+07 | 1.33164e+07 | 1.32686e+07 |  47797.3       |
|  99 | King George                        | Northern | 1.66046e+07 | 8.40106e+06 | 8.10826e+06 |  95268.2       | 658464           | 428002           | 230462           | 1.59461e+07 | 7.97306e+06 | 7.87779e+06 |  95268.2       |
| 101 | King William                       | Central  | 1.19568e+07 | 6.0523e+06  | 5.78681e+06 | 117670         | 492758           | 320293           | 172465           | 1.1464e+07  | 5.73201e+06 | 5.61434e+06 | 117670         |
| 103 | Lancaster                          | Central  | 1.29008e+07 | 6.52571e+06 | 6.23721e+06 | 137869         | 502106           | 326369           | 175737           | 1.23987e+07 | 6.19934e+06 | 6.06147e+06 | 137869         |
| 105 | Lee                                | Western  | 4.56306e+07 | 2.29819e+07 | 2.26352e+07 |  13397.7       |      1.11097e+06 | 722133           | 388841           | 4.45196e+07 | 2.22598e+07 | 2.22464e+07 |  13397.7       |
| 107 | Loudoun                            | Northern | 1.06512e+08 | 5.42721e+07 | 5.20076e+07 | 231910         |      6.77539e+06 |      4.404e+06   |      2.37139e+06 | 9.97362e+07 | 4.98681e+07 | 4.96362e+07 | 231910         |
| 109 | Louisa                             | Northern | 3.40229e+07 | 1.72339e+07 | 1.66345e+07 | 154573         |      1.48281e+06 | 963827           | 518984           | 3.25401e+07 | 1.627e+07   | 1.61155e+07 | 154573         |
| 111 | Lunenburg                          | Central  | 1.77847e+07 | 8.9597e+06  | 8.75632e+06 |  68725.4       | 448841           | 291747           | 157094           | 1.73359e+07 | 8.66795e+06 | 8.59922e+06 |  68725.4       |
| 113 | Madison                            | Northern | 1.32045e+07 | 6.71094e+06 | 6.42314e+06 |  70378         | 724757           | 471092           | 253665           | 1.24797e+07 | 6.23985e+06 | 6.16947e+06 |  70378         |
| 115 | Mathews                            | Eastern  | 1.02698e+07 | 5.17081e+06 | 5.05769e+06 |  41294.9       | 239405           | 155613           |  83791.7         | 1.00304e+07 | 5.01519e+06 | 4.9739e+06  |  41294.9       |
| 117 | Mecklenburg                        | Piedmont | 4.80834e+07 | 2.4261e+07  | 2.37626e+07 |  59825         |      1.46167e+06 | 950085           | 511584           | 4.66218e+07 | 2.33109e+07 | 2.32511e+07 |  59825         |
| 119 | Middlesex                          | Central  | 1.27918e+07 | 6.44709e+06 | 6.31425e+06 |  30480.7       | 341195           | 221777           | 119418           | 1.24506e+07 | 6.22532e+06 | 6.19484e+06 |  30480.7       |
| 121 | Montgomery                         | Western  | 5.93457e+07 | 3.003e+07   | 2.92584e+07 |  57221.9       |      2.38143e+06 |      1.54793e+06 | 833502           | 5.69642e+07 | 2.84821e+07 | 2.84249e+07 |  57221.9       |
| 125 | Nelson                             | Piedmont | 1.81261e+07 | 9.18695e+06 | 8.91394e+06 |  25177.5       | 826133           | 536986           | 289147           | 1.72999e+07 | 8.64997e+06 | 8.62479e+06 |  25177.5       |
| 127 | New Kent                           | Central  | 9.80417e+06 | 4.96586e+06 | 4.79147e+06 |  46841.6       | 425175           | 276364           | 148811           | 9.379e+06   | 4.6895e+06  | 4.64266e+06 |  46841.6       |
| 131 | Northampton                        | Eastern  | 2.56808e+07 | 1.297e+07   | 1.26783e+07 |  32477.3       | 864229           | 561749           | 302480           | 2.48165e+07 | 1.24083e+07 | 1.23758e+07 |  32477.3       |
| 133 | Northumberland                     | Central  | 1.13258e+07 | 5.72344e+06 | 5.63307e+06 | -30704.8       | 403569           | 262320           | 141249           | 1.09222e+07 | 5.46112e+06 | 5.49182e+06 | -30704.8       |
| 135 | Nottoway                           | Central  | 2.35909e+07 | 1.19333e+07 | 1.16063e+07 |  51380.2       | 918670           | 597136           | 321535           | 2.26723e+07 | 1.13361e+07 | 1.12848e+07 |  51380.2       |
| 137 | Orange                             | Northern | 3.07192e+07 | 1.55809e+07 | 1.49859e+07 | 152326         |      1.47575e+06 | 959237           | 516512           | 2.92434e+07 | 1.46217e+07 | 1.44694e+07 | 152326         |
| 139 | Page                               | Northern | 2.54734e+07 | 1.2901e+07  | 1.25583e+07 |  14059.8       |      1.09564e+06 | 712168           | 383475           | 2.43777e+07 | 1.21889e+07 | 1.21748e+07 |  14059.8       |
| 143 | Pittsylvania                       | Piedmont | 8.26618e+07 | 4.17378e+07 | 4.08777e+07 |  46272.1       |      2.71274e+06 |      1.76328e+06 | 949460           | 7.99491e+07 | 3.99746e+07 | 3.99283e+07 |  46272.1       |
| 145 | Powhatan                           | Central  | 1.25205e+07 | 6.36334e+06 | 6.05941e+06 |  97748.3       | 687278           | 446730           | 240547           | 1.18332e+07 | 5.91661e+06 | 5.81886e+06 |  97748.3       |
| 147 | Prince Edward                      | Central  | 2.96503e+07 | 1.49637e+07 | 1.46548e+07 |  31780.2       | 923604           | 600342           | 323261           | 2.87267e+07 | 1.43633e+07 | 1.43316e+07 |  31780.2       |
| 149 | Prince George                      | Eastern  | 1.94034e+07 | 9.82311e+06 | 9.55356e+06 |  26719.6       | 809463           | 526151           | 283312           | 1.85939e+07 | 9.29696e+06 | 9.27024e+06 |  26719.6       |
| 153 | Prince William                     | Northern | 2.47992e+08 | 1.27116e+08 | 1.20133e+08 | 742707         |      2.08006e+07 |      1.35204e+07 |      7.28023e+06 | 2.27192e+08 | 1.13596e+08 | 1.12853e+08 | 742707         |
| 155 | Pulaski                            | Western  | 4.29398e+07 | 2.16945e+07 | 2.11674e+07 |  77821.8       |      1.49778e+06 | 973558           | 524223           | 4.1442e+07  | 2.0721e+07  | 2.06432e+07 |  77821.8       |
| 157 | Rappahannock                       | Northern | 4.76445e+06 | 2.40844e+06 | 2.15832e+06 | 197687         | 174793           | 113615           |  61177.5         | 4.58965e+06 | 2.29483e+06 | 2.09714e+06 | 197687         |
| 159 | Richmond Co.                       | Central  | 1.0325e+07  | 5.23476e+06 | 5.03649e+06 |  53730.6       | 481775           | 313154           | 168621           | 9.8432e+06  | 4.9216e+06  | 4.86787e+06 |  53730.6       |
| 161 | Roanoke Co./ Salem                 | Piedmont | 8.63877e+07 | 4.36663e+07 | 4.24185e+07 | 302940         |      3.14956e+06 |      2.04721e+06 |      1.10235e+06 | 8.32382e+07 | 4.16191e+07 | 4.13161e+07 | 302940         |
| 163 | Rockbridge/ Buena Vista/ Lexington | Piedmont | 3.41893e+07 | 1.72879e+07 | 1.67545e+07 | 146910         |      1.28831e+06 | 837401           | 450908           | 3.2901e+07  | 1.64505e+07 | 1.63036e+07 | 146910         |
| 165 | Rockingham/ Harrisonburg           | Northern | 9.14512e+07 | 4.6489e+07  | 4.46678e+07 | 294375         |      5.08958e+06 |      3.30823e+06 |      1.78135e+06 | 8.63616e+07 | 4.31808e+07 | 4.28864e+07 | 294375         |
| 167 | Russell                            | Western  | 4.07746e+07 | 2.06356e+07 | 2.00782e+07 |  60822.3       |      1.65494e+06 |      1.07571e+06 | 579229           | 3.91197e+07 | 1.95598e+07 | 1.9499e+07  |  60822.3       |
| 169 | Scott                              | Western  | 2.98977e+07 | 1.51025e+07 | 1.47743e+07 |  20928.9       |      1.02433e+06 | 665811           | 358514           | 2.88734e+07 | 1.44367e+07 | 1.44158e+07 |  20928.9       |
| 171 | Shenandoah                         | Northern | 3.95763e+07 | 2.00569e+07 | 1.94959e+07 |  23536.6       |      1.79181e+06 |      1.16467e+06 | 627132           | 3.77845e+07 | 1.88923e+07 | 1.88687e+07 |  23536.6       |
| 173 | Smyth                              | Western  | 4.41169e+07 | 2.22932e+07 | 2.17858e+07 |  37907.3       |      1.56482e+06 |      1.01713e+06 | 547686           | 4.25521e+07 | 2.1276e+07  | 2.12381e+07 |  37907.3       |
| 175 | Southampton                        | Eastern  | 2.26628e+07 | 1.14363e+07 | 1.11917e+07 |  34794.4       | 699489           | 454668           | 244821           | 2.19633e+07 | 1.09817e+07 | 1.09469e+07 |  34794.4       |
| 177 | Spotsylvania                       | Northern | 9.72715e+07 | 4.92949e+07 | 4.73606e+07 | 615995         |      4.39432e+06 |      2.85631e+06 |      1.53801e+06 | 9.28771e+07 | 4.64386e+07 | 4.58226e+07 | 615995         |
| 179 | Stafford                           | Northern | 7.45955e+07 | 3.78952e+07 | 3.64573e+07 | 242973         |      3.98307e+06 |      2.589e+06   |      1.39407e+06 | 7.06124e+07 | 3.53062e+07 | 3.50632e+07 | 242973         |
| 185 | Tazewell                           | Western  | 5.32145e+07 | 2.69186e+07 | 2.62506e+07 |  45346.6       |      2.07544e+06 |      1.34903e+06 | 726403           | 5.11391e+07 | 2.55695e+07 | 2.55242e+07 |  45346.6       |
| 187 | Warren                             | Northern | 3.68205e+07 | 1.86413e+07 | 1.81245e+07 |  54649.2       |      1.54061e+06 |      1.00139e+06 | 539213           | 3.52799e+07 | 1.76399e+07 | 1.75853e+07 |  54649.2       |
| 191 | Washington                         | Western  | 5.45989e+07 | 2.76756e+07 | 2.68351e+07 |  88139.6       |      2.5077e+06  |      1.63e+06    | 877694           | 5.20912e+07 | 2.60456e+07 | 2.59575e+07 |  88139.6       |
| 193 | Westmoreland                       | Central  | 2.01313e+07 | 1.01774e+07 | 9.90286e+06 |  51037.1       | 744931           | 484205           | 260726           | 1.93863e+07 | 9.69317e+06 | 9.64214e+06 |  51037.1       |
| 195 | Wise                               | Western  | 6.46371e+07 | 3.26008e+07 | 3.19719e+07 |  64286.7       |      1.88199e+06 |      1.22329e+06 | 658695           | 6.27551e+07 | 3.13775e+07 | 3.13132e+07 |  64286.7       |
| 197 | Wythe                              | Western  | 3.61098e+07 | 1.82585e+07 | 1.7792e+07  |  59293.5       |      1.35725e+06 | 882211           | 475036           | 3.47526e+07 | 1.73763e+07 | 1.7317e+07  |  59293.5       |
| 199 | York/ Poquoson                     | Eastern  | 2.85264e+07 | 1.44479e+07 | 1.40317e+07 |  46864.1       |      1.23114e+06 | 800244           | 430901           | 2.72952e+07 | 1.36476e+07 | 1.36008e+07 |  46864.1       |
| 510 | Alexandria                         | Northern | 8.70219e+07 | 4.4433e+07  | 4.24957e+07 |  93252.4       |      6.14691e+06 |      3.99549e+06 |      2.15142e+06 | 8.0875e+07  | 4.04375e+07 | 4.03442e+07 |  93252.4       |
| 520 | Bristol                            | Western  | 2.66751e+07 | 1.34982e+07 | 1.30869e+07 |  89934.1       |      1.0712e+06  | 696283           | 374921           | 2.56038e+07 | 1.28019e+07 | 1.2712e+07  |  89934.1       |
| 540 | Charlottesville                    | Piedmont | 5.06373e+07 | 2.55758e+07 | 2.48286e+07 | 232932         |      1.71417e+06 |      1.11421e+06 | 599960           | 4.89232e+07 | 2.44616e+07 | 2.42287e+07 | 232932         |
| 550 | Chesapeake                         | Eastern  | 1.74681e+08 | 8.83878e+07 | 8.62046e+07 |  89064.8       |      6.98036e+06 |      4.53723e+06 |      2.44313e+06 | 1.67701e+08 | 8.38506e+07 | 8.37615e+07 |  89064.8       |
| 590 | Danville                           | Piedmont | 1.05437e+08 | 5.29682e+07 | 5.2412e+07  |  56330.9       |      1.66635e+06 |      1.08313e+06 | 583223           | 1.0377e+08  | 5.18851e+07 | 5.18288e+07 |  56330.9       |
| 630 | Fredericksburg                     | Northern | 3.2965e+07  | 1.66466e+07 | 1.6266e+07  |  52440.9       |      1.09379e+06 | 710962           | 382826           | 3.18712e+07 | 1.59356e+07 | 1.58832e+07 |  52440.9       |
| 670 | Hopewell                           | Central  | 4.25483e+07 | 2.14935e+07 | 2.0942e+07  | 112830         |      1.46242e+06 | 950570           | 511846           | 4.10859e+07 | 2.05429e+07 | 2.04301e+07 | 112830         |
| 680 | Lynchburg                          | Piedmont | 1.11124e+08 | 5.59522e+07 | 5.49303e+07 | 241747         |      2.60041e+06 |      1.69027e+06 | 910144           | 1.08524e+08 | 5.42619e+07 | 5.40202e+07 | 241747         |
| 683 | Manassas                           | Northern | 3.07225e+07 | 1.58323e+07 | 1.48005e+07 |  89614.9       |      3.14059e+06 |      2.04138e+06 |      1.09921e+06 | 2.75819e+07 | 1.3791e+07  | 1.37013e+07 |  89614.9       |
| 700 | Newport News                       | Eastern  | 2.16045e+08 | 1.09123e+08 | 1.06843e+08 |  78634.4       |      7.33625e+06 |      4.76856e+06 |      2.56769e+06 | 2.08709e+08 | 1.04354e+08 | 1.04276e+08 |  78634.4       |
| 710 | Norfolk                            | Eastern  | 3.21416e+08 | 1.61829e+08 | 1.59241e+08 | 345731         |      7.47177e+06 |      4.85665e+06 |      2.61512e+06 | 3.13944e+08 | 1.56972e+08 | 1.56626e+08 | 345731         |
| 730 | Petersburg                         | Central  | 8.98053e+07 | 4.51124e+07 | 4.44806e+07 | 212316         |      1.39819e+06 | 908826           | 489368           | 8.84071e+07 | 4.42036e+07 | 4.39913e+07 | 212316         |
| 740 | Portsmouth                         | Eastern  | 1.69747e+08 | 8.55128e+07 | 8.41903e+07 |  43470.7       |      4.26332e+06 |      2.77116e+06 |      1.49216e+06 | 1.65483e+08 | 8.27416e+07 | 8.26982e+07 |  43470.7       |
| 760 | Richmond                           | Central  | 4.22282e+08 | 2.12222e+08 | 2.09414e+08 | 646998         |      7.20409e+06 |      4.68266e+06 |      2.52143e+06 | 4.15078e+08 | 2.07539e+08 | 2.06892e+08 | 646998         |
| 770 | Roanoke                            | Piedmont | 1.78794e+08 | 9.0127e+07  | 8.83135e+07 | 353709         |      4.86587e+06 |      3.16282e+06 |      1.70305e+06 | 1.73928e+08 | 8.69642e+07 | 8.66104e+07 | 353709         |
| 800 | Suffolk                            | Eastern  | 1.10545e+08 | 5.56141e+07 | 5.48807e+07 |  50265.5       |      2.27721e+06 |      1.48019e+06 | 797024           | 1.08268e+08 | 5.4134e+07  | 5.40837e+07 |  50265.5       |
| 810 | Virginia Beach                     | Eastern  | 2.86163e+08 | 1.4513e+08  | 1.40457e+08 | 576362         |      1.36542e+07 |      8.87522e+06 |      4.77896e+06 | 2.72509e+08 | 1.36254e+08 | 1.35678e+08 | 576362         |



label: D=H+K
H=I+J
K=L+M+N
labeled_formulas: D=H+K
H=I+J
K=L+M+N
N=(A/D)+G
N=(A/E)+G
N=(A/F)+G
N=(A/K)+G
N=(A/L)+G
N=(A/M)+G
output: {"Arithmetic-Relationship": ["D=H+K", "H=I+J", "K=L+M+N"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_155174___xlsx_626ce64c9360feed315a74c45b0da2ce9c633089.xlsx___line_419