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Finding the Fourth Proportional to 160,174.01, 240,257.97 and 47,854.55

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Solution

The fourth proportional to 160,174.01, 240,257.97 and 47,854.55 is: 71,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,174.01 : 240,257.97 = 47,854.55 : x
  2. Step 2: Convert to fraction form
    160,174.01/240,257.97 = 47,854.55/x
  3. Step 3: Cross multiply
    160,174.01x = 240,257.97 × 47,854.55
  4. Step 4: Simplify right side
    160,174.01x = 11,497,435,836.97
  5. Step 5: Solve for x
    x = 11,497,435,836.97/160,174.01
  6. Step 6: Final answer
    x = 71,780.91

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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.