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Finding the Fourth Proportional to 273,380.26, 410,082.74 and 83,826.78

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Solution

The fourth proportional to 273,380.26, 410,082.74 and 83,826.78 is: 125,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,380.26 : 410,082.74 = 83,826.78 : x
  2. Step 2: Convert to fraction form
    273,380.26/410,082.74 = 83,826.78/x
  3. Step 3: Cross multiply
    273,380.26x = 410,082.74 × 83,826.78
  4. Step 4: Simplify right side
    273,380.26x = 34,375,915,627.78
  5. Step 5: Solve for x
    x = 34,375,915,627.78/273,380.26
  6. Step 6: Final answer
    x = 125,743.96

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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.