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Finding the Fourth Proportional to 218,422.92, 327,214.17 and 133,936.47

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Solution

The fourth proportional to 218,422.92, 327,214.17 and 133,936.47 is: 200,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,422.92 : 327,214.17 = 133,936.47 : x
  2. Step 2: Convert to fraction form
    218,422.92/327,214.17 = 133,936.47/x
  3. Step 3: Cross multiply
    218,422.92x = 327,214.17 × 133,936.47
  4. Step 4: Simplify right side
    218,422.92x = 43,825,910,863.78
  5. Step 5: Solve for x
    x = 43,825,910,863.78/218,422.92
  6. Step 6: Final answer
    x = 200,647.03

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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.