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Finding the Fourth Proportional to 159,757.20, 239,669.82 and 47,437.74

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Solution

The fourth proportional to 159,757.20, 239,669.82 and 47,437.74 is: 71,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,757.20 : 239,669.82 = 47,437.74 : x
  2. Step 2: Convert to fraction form
    159,757.20/239,669.82 = 47,437.74/x
  3. Step 3: Cross multiply
    159,757.20x = 239,669.82 × 47,437.74
  4. Step 4: Simplify right side
    159,757.20x = 11,369,394,607.01
  5. Step 5: Solve for x
    x = 11,369,394,607.01/159,757.20
  6. Step 6: Final answer
    x = 71,166.71

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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.