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Finding the Fourth Proportional to 120,166.28, 180,259.71 and 31,419.64

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Solution

The fourth proportional to 120,166.28, 180,259.71 and 31,419.64 is: 47,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,166.28 : 180,259.71 = 31,419.64 : x
  2. Step 2: Convert to fraction form
    120,166.28/180,259.71 = 31,419.64/x
  3. Step 3: Cross multiply
    120,166.28x = 180,259.71 × 31,419.64
  4. Step 4: Simplify right side
    120,166.28x = 5,663,695,037.61
  5. Step 5: Solve for x
    x = 5,663,695,037.61/120,166.28
  6. Step 6: Final answer
    x = 47,132.15

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