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Finding the Fourth Proportional to 229,371.34, 344,057.01 and 71,613.31

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Solution

The fourth proportional to 229,371.34, 344,057.01 and 71,613.31 is: 107,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,371.34 : 344,057.01 = 71,613.31 : x
  2. Step 2: Convert to fraction form
    229,371.34/344,057.01 = 71,613.31/x
  3. Step 3: Cross multiply
    229,371.34x = 344,057.01 × 71,613.31
  4. Step 4: Simplify right side
    229,371.34x = 24,639,061,314.80
  5. Step 5: Solve for x
    x = 24,639,061,314.80/229,371.34
  6. Step 6: Final answer
    x = 107,419.97

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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.