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Finding the Fourth Proportional to 172,508.68, 238,059.54 and 97,057

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Solution

The fourth proportional to 172,508.68, 238,059.54 and 97,057 is: 133,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,508.68 : 238,059.54 = 97,057 : x
  2. Step 2: Convert to fraction form
    172,508.68/238,059.54 = 97,057/x
  3. Step 3: Cross multiply
    172,508.68x = 238,059.54 × 97,057
  4. Step 4: Simplify right side
    172,508.68x = 23,105,344,773.78
  5. Step 5: Solve for x
    x = 23,105,344,773.78/172,508.68
  6. Step 6: Final answer
    x = 133,937.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.