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Finding the Fourth Proportional to 204,354.38, 281,814.99 and 135,320.78

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Solution

The fourth proportional to 204,354.38, 281,814.99 and 135,320.78 is: 186,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,354.38 : 281,814.99 = 135,320.78 : x
  2. Step 2: Convert to fraction form
    204,354.38/281,814.99 = 135,320.78/x
  3. Step 3: Cross multiply
    204,354.38x = 281,814.99 × 135,320.78
  4. Step 4: Simplify right side
    204,354.38x = 38,135,424,262.49
  5. Step 5: Solve for x
    x = 38,135,424,262.49/204,354.38
  6. Step 6: Final answer
    x = 186,614.18

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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.