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Finding the Fourth Proportional to 216,456.38, 298,516.42 and 135,891.42

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Solution

The fourth proportional to 216,456.38, 298,516.42 and 135,891.42 is: 187,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,456.38 : 298,516.42 = 135,891.42 : x
  2. Step 2: Convert to fraction form
    216,456.38/298,516.42 = 135,891.42/x
  3. Step 3: Cross multiply
    216,456.38x = 298,516.42 × 135,891.42
  4. Step 4: Simplify right side
    216,456.38x = 40,565,820,207.12
  5. Step 5: Solve for x
    x = 40,565,820,207.12/216,456.38
  6. Step 6: Final answer
    x = 187,408.75

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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.