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Finding the Fourth Proportional to 142,732.32, 214,098.48 and 59,568

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Solution

The fourth proportional to 142,732.32, 214,098.48 and 59,568 is: 89,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,732.32 : 214,098.48 = 59,568 : x
  2. Step 2: Convert to fraction form
    142,732.32/214,098.48 = 59,568/x
  3. Step 3: Cross multiply
    142,732.32x = 214,098.48 × 59,568
  4. Step 4: Simplify right side
    142,732.32x = 12,753,418,256.64
  5. Step 5: Solve for x
    x = 12,753,418,256.64/142,732.32
  6. Step 6: Final answer
    x = 89,352

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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.