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Finding the Fourth Proportional to 231,351.62, 346,898.48 and 71,382.14

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Solution

The fourth proportional to 231,351.62, 346,898.48 and 71,382.14 is: 107,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,351.62 : 346,898.48 = 71,382.14 : x
  2. Step 2: Convert to fraction form
    231,351.62/346,898.48 = 71,382.14/x
  3. Step 3: Cross multiply
    231,351.62x = 346,898.48 × 71,382.14
  4. Step 4: Simplify right side
    231,351.62x = 24,762,354,500.49
  5. Step 5: Solve for x
    x = 24,762,354,500.49/231,351.62
  6. Step 6: Final answer
    x = 107,033.42

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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.