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Finding the Fourth Proportional to 231,472.62, 347,243.76 and 71,535.42

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Solution

The fourth proportional to 231,472.62, 347,243.76 and 71,535.42 is: 107,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,472.62 : 347,243.76 = 71,535.42 : x
  2. Step 2: Convert to fraction form
    231,472.62/347,243.76 = 71,535.42/x
  3. Step 3: Cross multiply
    231,472.62x = 347,243.76 × 71,535.42
  4. Step 4: Simplify right side
    231,472.62x = 24,840,228,213.98
  5. Step 5: Solve for x
    x = 24,840,228,213.98/231,472.62
  6. Step 6: Final answer
    x = 107,313.89

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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.