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Finding the Fourth Proportional to 132,494.70, 198,679.68 and 38,981.82

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Solution

The fourth proportional to 132,494.70, 198,679.68 and 38,981.82 is: 58,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,494.70 : 198,679.68 = 38,981.82 : x
  2. Step 2: Convert to fraction form
    132,494.70/198,679.68 = 38,981.82/x
  3. Step 3: Cross multiply
    132,494.70x = 198,679.68 × 38,981.82
  4. Step 4: Simplify right side
    132,494.70x = 7,744,895,523.42
  5. Step 5: Solve for x
    x = 7,744,895,523.42/132,494.70
  6. Step 6: Final answer
    x = 58,454.38

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Why These Related Problems?

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