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Finding the Fourth Proportional to 231,781.30, 319,842.96 and 129,783.38

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Solution

The fourth proportional to 231,781.30, 319,842.96 and 129,783.38 is: 179,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,781.30 : 319,842.96 = 129,783.38 : x
  2. Step 2: Convert to fraction form
    231,781.30/319,842.96 = 129,783.38/x
  3. Step 3: Cross multiply
    231,781.30x = 319,842.96 × 129,783.38
  4. Step 4: Simplify right side
    231,781.30x = 41,510,300,418.00
  5. Step 5: Solve for x
    x = 41,510,300,418.00/231,781.30
  6. Step 6: Final answer
    x = 179,092.53

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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.