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Finding the Fourth Proportional to 231,181.38, 319,024.31 and 129,207.69

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Solution

The fourth proportional to 231,181.38, 319,024.31 and 129,207.69 is: 178,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,181.38 : 319,024.31 = 129,207.69 : x
  2. Step 2: Convert to fraction form
    231,181.38/319,024.31 = 129,207.69/x
  3. Step 3: Cross multiply
    231,181.38x = 319,024.31 × 129,207.69
  4. Step 4: Simplify right side
    231,181.38x = 41,220,393,502.91
  5. Step 5: Solve for x
    x = 41,220,393,502.91/231,181.38
  6. Step 6: Final answer
    x = 178,303.26

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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.