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Finding the Fourth Proportional to 231,654.52, 320,293.23 and 202,891.71

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Solution

The fourth proportional to 231,654.52, 320,293.23 and 202,891.71 is: 280,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,654.52 : 320,293.23 = 202,891.71 : x
  2. Step 2: Convert to fraction form
    231,654.52/320,293.23 = 202,891.71/x
  3. Step 3: Cross multiply
    231,654.52x = 320,293.23 × 202,891.71
  4. Step 4: Simplify right side
    231,654.52x = 64,984,841,136.12
  5. Step 5: Solve for x
    x = 64,984,841,136.12/231,654.52
  6. Step 6: Final answer
    x = 280,524.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.