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Finding the Fourth Proportional to 215,914.85, 298,101.17 and 135,452.69

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Solution

The fourth proportional to 215,914.85, 298,101.17 and 135,452.69 is: 187,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,914.85 : 298,101.17 = 135,452.69 : x
  2. Step 2: Convert to fraction form
    215,914.85/298,101.17 = 135,452.69/x
  3. Step 3: Cross multiply
    215,914.85x = 298,101.17 × 135,452.69
  4. Step 4: Simplify right side
    215,914.85x = 40,378,604,691.38
  5. Step 5: Solve for x
    x = 40,378,604,691.38/215,914.85
  6. Step 6: Final answer
    x = 187,011.71

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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.