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Finding the Fourth Proportional to 226,805.72, 339,819.78 and 160,126.52

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Solution

The fourth proportional to 226,805.72, 339,819.78 and 160,126.52 is: 239,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,805.72 : 339,819.78 = 160,126.52 : x
  2. Step 2: Convert to fraction form
    226,805.72/339,819.78 = 160,126.52/x
  3. Step 3: Cross multiply
    226,805.72x = 339,819.78 × 160,126.52
  4. Step 4: Simplify right side
    226,805.72x = 54,414,158,798.57
  5. Step 5: Solve for x
    x = 54,414,158,798.57/226,805.72
  6. Step 6: Final answer
    x = 239,915.28

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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.