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Finding the Fourth Proportional to 135,294.96, 202,717.59 and 95,230.03

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Solution

The fourth proportional to 135,294.96, 202,717.59 and 95,230.03 is: 142,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,294.96 : 202,717.59 = 95,230.03 : x
  2. Step 2: Convert to fraction form
    135,294.96/202,717.59 = 95,230.03/x
  3. Step 3: Cross multiply
    135,294.96x = 202,717.59 × 95,230.03
  4. Step 4: Simplify right side
    135,294.96x = 19,304,801,693.42
  5. Step 5: Solve for x
    x = 19,304,801,693.42/135,294.96
  6. Step 6: Final answer
    x = 142,686.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.