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Finding the Fourth Proportional to 215,440.38, 323,308.17 and 75,198.96

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Solution

The fourth proportional to 215,440.38, 323,308.17 and 75,198.96 is: 112,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,440.38 : 323,308.17 = 75,198.96 : x
  2. Step 2: Convert to fraction form
    215,440.38/323,308.17 = 75,198.96/x
  3. Step 3: Cross multiply
    215,440.38x = 323,308.17 × 75,198.96
  4. Step 4: Simplify right side
    215,440.38x = 24,312,438,143.50
  5. Step 5: Solve for x
    x = 24,312,438,143.50/215,440.38
  6. Step 6: Final answer
    x = 112,849.96

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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.