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: [1, 2, 3]
Example solution: [0.167, 0.333, 0.500]
Example explanation: The output list sums to 1.0 and has the same weight as the input 0.333 is twice as large as 0.167, .5 is 3 times as large as 0.167, and 0.5 is 1.5 times as large as 0.333. This is a good example.

Problem: [-81.144, 52.024, -1.763, 208.552, 168.231, 69.134, 61.457, -99.022, 104.18]

Solution: [-0.168  0.108 -0.004  0.433  0.349  0.144  0.128 -0.206  0.216]