Given the task definition and input, reply with output. 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.

[42.109, 109.86, -83.327, 26.912, 144.091, -4.351, 52.963, 168.042, 77.981]

[ 0.079  0.206 -0.156  0.05   0.27  -0.008  0.099  0.315  0.146]