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Finding the Fourth Proportional to 101,442.50, 152,134 and 38,217

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Solution

The fourth proportional to 101,442.50, 152,134 and 38,217 is: 57,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442.50 : 152,134 = 38,217 : x
  2. Step 2: Convert to fraction form
    101,442.50/152,134 = 38,217/x
  3. Step 3: Cross multiply
    101,442.50x = 152,134 × 38,217
  4. Step 4: Simplify right side
    101,442.50x = 5,814,105,078
  5. Step 5: Solve for x
    x = 5,814,105,078/101,442.50
  6. Step 6: Final answer
    x = 57,314.29

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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.