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Finding the Fourth Proportional to 121,624, 182,286.24 and 86,372.80

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Solution

The fourth proportional to 121,624, 182,286.24 and 86,372.80 is: 129,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,624 : 182,286.24 = 86,372.80 : x
  2. Step 2: Convert to fraction form
    121,624/182,286.24 = 86,372.80/x
  3. Step 3: Cross multiply
    121,624x = 182,286.24 × 86,372.80
  4. Step 4: Simplify right side
    121,624x = 15,744,572,950.27
  5. Step 5: Solve for x
    x = 15,744,572,950.27/121,624
  6. Step 6: Final answer
    x = 129,452.85

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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.