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Finding the Fourth Proportional to 231,882.91, 347,049.34 and 132,016.29

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Solution

The fourth proportional to 231,882.91, 347,049.34 and 132,016.29 is: 197,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,882.91 : 347,049.34 = 132,016.29 : x
  2. Step 2: Convert to fraction form
    231,882.91/347,049.34 = 132,016.29/x
  3. Step 3: Cross multiply
    231,882.91x = 347,049.34 × 132,016.29
  4. Step 4: Simplify right side
    231,882.91x = 45,816,165,983.71
  5. Step 5: Solve for x
    x = 45,816,165,983.71/231,882.91
  6. Step 6: Final answer
    x = 197,583.20

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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.