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Finding the Fourth Proportional to 120,246.40, 165,910.14 and 77,753.80

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Solution

The fourth proportional to 120,246.40, 165,910.14 and 77,753.80 is: 107,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,246.40 : 165,910.14 = 77,753.80 : x
  2. Step 2: Convert to fraction form
    120,246.40/165,910.14 = 77,753.80/x
  3. Step 3: Cross multiply
    120,246.40x = 165,910.14 × 77,753.80
  4. Step 4: Simplify right side
    120,246.40x = 12,900,143,843.53
  5. Step 5: Solve for x
    x = 12,900,143,843.53/120,246.40
  6. Step 6: Final answer
    x = 107,280.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.