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Finding the Fourth Proportional to 247,375.76, 341,698.92 and 182,976

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Solution

The fourth proportional to 247,375.76, 341,698.92 and 182,976 is: 252,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,375.76 : 341,698.92 = 182,976 : x
  2. Step 2: Convert to fraction form
    247,375.76/341,698.92 = 182,976/x
  3. Step 3: Cross multiply
    247,375.76x = 341,698.92 × 182,976
  4. Step 4: Simplify right side
    247,375.76x = 62,522,701,585.92
  5. Step 5: Solve for x
    x = 62,522,701,585.92/247,375.76
  6. Step 6: Final answer
    x = 252,743.85

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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.