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Finding the Fourth Proportional to 218,092.16, 327,176.16 and 85,044.80

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Solution

The fourth proportional to 218,092.16, 327,176.16 and 85,044.80 is: 127,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,092.16 : 327,176.16 = 85,044.80 : x
  2. Step 2: Convert to fraction form
    218,092.16/327,176.16 = 85,044.80/x
  3. Step 3: Cross multiply
    218,092.16x = 327,176.16 × 85,044.80
  4. Step 4: Simplify right side
    218,092.16x = 27,824,631,091.97
  5. Step 5: Solve for x
    x = 27,824,631,091.97/218,092.16
  6. Step 6: Final answer
    x = 127,581.99

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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.