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Finding the Fourth Proportional to 129,002.97, 193,471.65 and 50,074.14

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Solution

The fourth proportional to 129,002.97, 193,471.65 and 50,074.14 is: 75,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,002.97 : 193,471.65 = 50,074.14 : x
  2. Step 2: Convert to fraction form
    129,002.97/193,471.65 = 50,074.14/x
  3. Step 3: Cross multiply
    129,002.97x = 193,471.65 × 50,074.14
  4. Step 4: Simplify right side
    129,002.97x = 9,687,926,488.13
  5. Step 5: Solve for x
    x = 9,687,926,488.13/129,002.97
  6. Step 6: Final answer
    x = 75,098.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.