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Finding the Fourth Proportional to 327,086.72, 490,819.12 and 137,532

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Solution

The fourth proportional to 327,086.72, 490,819.12 and 137,532 is: 206,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,086.72 : 490,819.12 = 137,532 : x
  2. Step 2: Convert to fraction form
    327,086.72/490,819.12 = 137,532/x
  3. Step 3: Cross multiply
    327,086.72x = 490,819.12 × 137,532
  4. Step 4: Simplify right side
    327,086.72x = 67,503,335,211.84
  5. Step 5: Solve for x
    x = 67,503,335,211.84/327,086.72
  6. Step 6: Final answer
    x = 206,377.49

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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.