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Finding the Fourth Proportional to 285,195.38, 428,213.60 and 159,082.02

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Solution

The fourth proportional to 285,195.38, 428,213.60 and 159,082.02 is: 238,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,195.38 : 428,213.60 = 159,082.02 : x
  2. Step 2: Convert to fraction form
    285,195.38/428,213.60 = 159,082.02/x
  3. Step 3: Cross multiply
    285,195.38x = 428,213.60 × 159,082.02
  4. Step 4: Simplify right side
    285,195.38x = 68,121,084,280.62
  5. Step 5: Solve for x
    x = 68,121,084,280.62/285,195.38
  6. Step 6: Final answer
    x = 238,857.61

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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.