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Finding the Fourth Proportional to 129,220.20, 193,538.70 and 76,732.20

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Solution

The fourth proportional to 129,220.20, 193,538.70 and 76,732.20 is: 114,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,220.20 : 193,538.70 = 76,732.20 : x
  2. Step 2: Convert to fraction form
    129,220.20/193,538.70 = 76,732.20/x
  3. Step 3: Cross multiply
    129,220.20x = 193,538.70 × 76,732.20
  4. Step 4: Simplify right side
    129,220.20x = 14,850,650,236.14
  5. Step 5: Solve for x
    x = 14,850,650,236.14/129,220.20
  6. Step 6: Final answer
    x = 114,925.15

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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.