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Finding the Fourth Proportional to 159,843.57, 239,765.28 and 47,523.30

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Solution

The fourth proportional to 159,843.57, 239,765.28 and 47,523.30 is: 71,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,843.57 : 239,765.28 = 47,523.30 : x
  2. Step 2: Convert to fraction form
    159,843.57/239,765.28 = 47,523.30/x
  3. Step 3: Cross multiply
    159,843.57x = 239,765.28 × 47,523.30
  4. Step 4: Simplify right side
    159,843.57x = 11,394,437,331.02
  5. Step 5: Solve for x
    x = 11,394,437,331.02/159,843.57
  6. Step 6: Final answer
    x = 71,284.93

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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.