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Finding the Fourth Proportional to 218,586.85, 327,924.47 and 92,227.42

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Solution

The fourth proportional to 218,586.85, 327,924.47 and 92,227.42 is: 138,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,586.85 : 327,924.47 = 92,227.42 : x
  2. Step 2: Convert to fraction form
    218,586.85/327,924.47 = 92,227.42/x
  3. Step 3: Cross multiply
    218,586.85x = 327,924.47 × 92,227.42
  4. Step 4: Simplify right side
    218,586.85x = 30,243,627,822.97
  5. Step 5: Solve for x
    x = 30,243,627,822.97/218,586.85
  6. Step 6: Final answer
    x = 138,359.78

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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.