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Finding the Fourth Proportional to 171,311.26, 256,819.14 and 82,442.52

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Solution

The fourth proportional to 171,311.26, 256,819.14 and 82,442.52 is: 123,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,311.26 : 256,819.14 = 82,442.52 : x
  2. Step 2: Convert to fraction form
    171,311.26/256,819.14 = 82,442.52/x
  3. Step 3: Cross multiply
    171,311.26x = 256,819.14 × 82,442.52
  4. Step 4: Simplify right side
    171,311.26x = 21,172,817,085.83
  5. Step 5: Solve for x
    x = 21,172,817,085.83/171,311.26
  6. Step 6: Final answer
    x = 123,592.68

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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.