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Finding the Fourth Proportional to 218,564.96, 327,652.94 and 85,414.94

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Solution

The fourth proportional to 218,564.96, 327,652.94 and 85,414.94 is: 128,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,564.96 : 327,652.94 = 85,414.94 : x
  2. Step 2: Convert to fraction form
    218,564.96/327,652.94 = 85,414.94/x
  3. Step 3: Cross multiply
    218,564.96x = 327,652.94 × 85,414.94
  4. Step 4: Simplify right side
    218,564.96x = 27,986,454,145.58
  5. Step 5: Solve for x
    x = 27,986,454,145.58/218,564.96
  6. Step 6: Final answer
    x = 128,046.39

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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.