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Finding the Fourth Proportional to 218,432.73, 327,671.43 and 83,610.06

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Solution

The fourth proportional to 218,432.73, 327,671.43 and 83,610.06 is: 125,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,432.73 : 327,671.43 = 83,610.06 : x
  2. Step 2: Convert to fraction form
    218,432.73/327,671.43 = 83,610.06/x
  3. Step 3: Cross multiply
    218,432.73x = 327,671.43 × 83,610.06
  4. Step 4: Simplify right side
    218,432.73x = 27,396,627,922.59
  5. Step 5: Solve for x
    x = 27,396,627,922.59/218,432.73
  6. Step 6: Final answer
    x = 125,423.64

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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.