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Finding the Fourth Proportional to 226,084.38, 312,001.38 and 135,535.56

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Solution

The fourth proportional to 226,084.38, 312,001.38 and 135,535.56 is: 187,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,084.38 : 312,001.38 = 135,535.56 : x
  2. Step 2: Convert to fraction form
    226,084.38/312,001.38 = 135,535.56/x
  3. Step 3: Cross multiply
    226,084.38x = 312,001.38 × 135,535.56
  4. Step 4: Simplify right side
    226,084.38x = 42,287,281,759.07
  5. Step 5: Solve for x
    x = 42,287,281,759.07/226,084.38
  6. Step 6: Final answer
    x = 187,042.03

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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.