In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

Example Input: [190.894, 177.982, 160.536, 196.712, 88.947]
Example Output: [0.234 0.218 0.197 0.241 0.109]

Example Input: [201.467, -98.448, 129.222, 89.022, 140.122, 227.06]
Example Output: [ 0.293 -0.143  0.188  0.129  0.204  0.33 ]

Example Input: [80.568, 120.84, -84.585, -98.082, 63.901, 79.988, -95.911, -67.174]
Example Output:
[-177.073 -265.582  185.901  215.565 -140.442 -175.798  210.793  147.635]