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Finding the Fourth Proportional to 282,257.44, 423,469.22 and 113,691.02

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Solution

The fourth proportional to 282,257.44, 423,469.22 and 113,691.02 is: 170,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,257.44 : 423,469.22 = 113,691.02 : x
  2. Step 2: Convert to fraction form
    282,257.44/423,469.22 = 113,691.02/x
  3. Step 3: Cross multiply
    282,257.44x = 423,469.22 × 113,691.02
  4. Step 4: Simplify right side
    282,257.44x = 48,144,644,874.60
  5. Step 5: Solve for x
    x = 48,144,644,874.60/282,257.44
  6. Step 6: Final answer
    x = 170,569.98

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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.