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Finding the Fourth Proportional to 217,414.20, 326,121.30 and 77,154.60

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Solution

The fourth proportional to 217,414.20, 326,121.30 and 77,154.60 is: 115,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414.20 : 326,121.30 = 77,154.60 : x
  2. Step 2: Convert to fraction form
    217,414.20/326,121.30 = 77,154.60/x
  3. Step 3: Cross multiply
    217,414.20x = 326,121.30 × 77,154.60
  4. Step 4: Simplify right side
    217,414.20x = 25,161,758,452.98
  5. Step 5: Solve for x
    x = 25,161,758,452.98/217,414.20
  6. Step 6: Final answer
    x = 115,731.90

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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.