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Finding the Fourth Proportional to 205,165.55, 283,175.69 and 120,309.95

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Solution

The fourth proportional to 205,165.55, 283,175.69 and 120,309.95 is: 166,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,165.55 : 283,175.69 = 120,309.95 : x
  2. Step 2: Convert to fraction form
    205,165.55/283,175.69 = 120,309.95/x
  3. Step 3: Cross multiply
    205,165.55x = 283,175.69 × 120,309.95
  4. Step 4: Simplify right side
    205,165.55x = 34,068,851,087.69
  5. Step 5: Solve for x
    x = 34,068,851,087.69/205,165.55
  6. Step 6: Final answer
    x = 166,055.42

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