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Finding the Fourth Proportional to 218,404.07, 327,647.46 and 85,275.91

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Solution

The fourth proportional to 218,404.07, 327,647.46 and 85,275.91 is: 127,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,404.07 : 327,647.46 = 85,275.91 : x
  2. Step 2: Convert to fraction form
    218,404.07/327,647.46 = 85,275.91/x
  3. Step 3: Cross multiply
    218,404.07x = 327,647.46 × 85,275.91
  4. Step 4: Simplify right side
    218,404.07x = 27,940,436,242.03
  5. Step 5: Solve for x
    x = 27,940,436,242.03/218,404.07
  6. Step 6: Final answer
    x = 127,930.02

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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.