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Finding the Fourth Proportional to 218,076.52, 327,143.40 and 75,906.40

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Solution

The fourth proportional to 218,076.52, 327,143.40 and 75,906.40 is: 113,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,076.52 : 327,143.40 = 75,906.40 : x
  2. Step 2: Convert to fraction form
    218,076.52/327,143.40 = 75,906.40/x
  3. Step 3: Cross multiply
    218,076.52x = 327,143.40 × 75,906.40
  4. Step 4: Simplify right side
    218,076.52x = 24,832,277,777.76
  5. Step 5: Solve for x
    x = 24,832,277,777.76/218,076.52
  6. Step 6: Final answer
    x = 113,869.56

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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.