Question: The first inauguration of George Washington took place on the balcony of which New York City building, erected in 1700?

Context paragraphs:
Old Hotel (Dumfries, Virginia): Old Hotel, also known as Williams Ordinary and Love's Tavern, is a historic inn and tavern located at Dumfries, Prince William County, Virginia.  It is dated to about 1765, and is a two-story, five bay, Georgian style brick building.  It features stone quoins and a stone doorway.  The building has a fully molded wood cornice with modillions, hipped roof, and four interior end chimneys.  In the fall of 2016, new evidence emerged from dendrochronology testing by the Oxford Tree Ring Laboratory in Baltimore that the building may not be as old as previously thought.  The dendrochronology testing, which examines the wood in the building, reveals the structure may date to 1786–87, just before George Washington took office.  The building, one of the oldest in Prince William County, is currently used by the county for its Historic Preservation offices.

George Washington (Ward): George Washington is a large bronze sculpture of George Washington by John Quincy Adams Ward, located on the front steps of Federal Hall National Memorial, on Wall Street in New York City.  The statue was unveiled in 1883 to commemorate Washington's first inauguration in 1789.  At the time, Federal Hall, which served as the capitol building of the United States, stood on the site, and Washington took the oath of office on the balcony of that building, approximately where the statue now stands.

750 7th Avenue: 750 Seventh Avenue is a 615 ft (187m) tall Class-A office skyscraper in New York City.  It was completed in 1989 in the postmodern style and has 36 floors.  Kevin Roche John Dinkeloo & Associates designed the building, and it is owned by Hines, a Texas based real estate investment company.  The building's continuous helix design, culminating in a chimney-like extension, was caused by the New York City Building Code, which requires setbacks.  The 84 exterior column transfers exist because of the owner's requirement for a column-free space.  It is tied with the New York Life Building for the 74th tallest building in New York City.  It is also LEED certified.

First inauguration of Theodore Roosevelt: The first inauguration of Theodore Roosevelt as the 26th President of the United States, took place on Saturday, September 14, 1901 at the Ansley Wilcox House, at 641 Delaware Avenue in Buffalo, New York, following the death of President William McKinley earlier that day.  The inauguration marked the commencement of the first term (a partial term of ) of Theodore Roosevelt as President.  John R. Hazel, U.S. District Judge for the Western District of New York, administered the Oath of office.

First inauguration of Barack Obama: The first inauguration of Barack Obama as the 44th President of the United States took place on Tuesday, January 20, 2009.  The inauguration, which set a record attendance for any event held in Washington, D.C., marked the commencement of the first four-year term of Barack Obama as President and Joe Biden as Vice President.  Based on the combined attendance numbers, television viewership, and Internet traffic, it was among the most-observed events ever by the global audience.

Second inauguration of George Washington: The second inauguration of George Washington as President of the United States was held in the Senate Chamber of Congress Hall in Philadelphia, Pennsylvania on Monday, March 4, 1793.  The inauguration marked the commencement of the second four-year term of George Washington as President and of John Adams as Vice President.  The presidential oath of office was administered to George Washington by Associate Justice William Cushing.  This was the first inauguration to take place in Philadelphia (then the nation's capital), and took place exactly four years after the new federal government began operations under the U.S. Constitution.

First inauguration of George W. Bush: The first inauguration of George W. Bush as the 43rd President of the United States took place on Saturday, January 20, 2001.  The inauguration marked the commencement of the first four-year term of George W. Bush as President and Dick Cheney as Vice President.  Chief Justice William Rehnquist administered the oath of office at 12:01 p.m.  An estimated 300,000 people attended the swearing-in ceremony.

Inauguration of Chester A. Arthur: The inauguration of Chester A. Arthur as the 21st President of the United States was held on Tuesday, September 20, 1881, at 123 Lexington Avenue in New York City, New York, following the death of President James A. Garfield the previous evening.  The inauguration marked the commencement of Chester A. Arthur's only term (a partial term of ) as President.  This was the fourth non-scheduled, extraordinary inauguration to take place during the 19th century, and was the first to take place in New York City since George Washington's first inauguration in 1789.

First inauguration of George Washington: The first inauguration of George Washington as the first President of the United States was held on Thursday, April 30, 1789 on the balcony of Federal Hall in New York City, New York.  The inauguration marked the commencement of the first four-year term of George Washington as President.  Chancellor of New York Robert Livingston administered the presidential oath of office.  With his inauguration, the executive branch of the United States government officially began operations under the new frame of government established by the 1787 Constitution.  The first term of John Adams as Vice President commenced on April 21, 1789, when he assumed his duties as presiding officer of the United States Senate.

Federal Hall: Federal Hall, built in 1700 as New York's City Hall, later served as the first capitol building of the United States of America under the Constitution, as well as the site of George Washington's inauguration as the first President of the United States under the Constitution.  It was also where the United States Bill of Rights was introduced in the First Congress.  The building was demolished in 1812.

Supporting paragraphs: First inauguration of George Washington Federal Hall
Answer: Federal Hall