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Finding the Fourth Proportional to 120,007.68, 165,587.76 and 72,264.12

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Solution

The fourth proportional to 120,007.68, 165,587.76 and 72,264.12 is: 99,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,007.68 : 165,587.76 = 72,264.12 : x
  2. Step 2: Convert to fraction form
    120,007.68/165,587.76 = 72,264.12/x
  3. Step 3: Cross multiply
    120,007.68x = 165,587.76 × 72,264.12
  4. Step 4: Simplify right side
    120,007.68x = 11,966,053,759.17
  5. Step 5: Solve for x
    x = 11,966,053,759.17/120,007.68
  6. Step 6: Final answer
    x = 99,710.73

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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.