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Finding the Fourth Proportional to 138,164.96, 207,247.42 and 38,325.16

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Solution

The fourth proportional to 138,164.96, 207,247.42 and 38,325.16 is: 57,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.96 : 207,247.42 = 38,325.16 : x
  2. Step 2: Convert to fraction form
    138,164.96/207,247.42 = 38,325.16/x
  3. Step 3: Cross multiply
    138,164.96x = 207,247.42 × 38,325.16
  4. Step 4: Simplify right side
    138,164.96x = 7,942,790,531.09
  5. Step 5: Solve for x
    x = 7,942,790,531.09/138,164.96
  6. Step 6: Final answer
    x = 57,487.73

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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.