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Finding the Fourth Proportional to 218,140.52, 327,076.80 and 84,865.46

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Solution

The fourth proportional to 218,140.52, 327,076.80 and 84,865.46 is: 127,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,140.52 : 327,076.80 = 84,865.46 : x
  2. Step 2: Convert to fraction form
    218,140.52/327,076.80 = 84,865.46/x
  3. Step 3: Cross multiply
    218,140.52x = 327,076.80 × 84,865.46
  4. Step 4: Simplify right side
    218,140.52x = 27,757,523,087.33
  5. Step 5: Solve for x
    x = 27,757,523,087.33/218,140.52
  6. Step 6: Final answer
    x = 127,246.07

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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.