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Finding the Fourth Proportional to 273,379.26, 410,081.24 and 83,825.78

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Solution

The fourth proportional to 273,379.26, 410,081.24 and 83,825.78 is: 125,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,379.26 : 410,081.24 = 83,825.78 : x
  2. Step 2: Convert to fraction form
    273,379.26/410,081.24 = 83,825.78/x
  3. Step 3: Cross multiply
    273,379.26x = 410,081.24 × 83,825.78
  4. Step 4: Simplify right side
    273,379.26x = 34,375,379,806.37
  5. Step 5: Solve for x
    x = 34,375,379,806.37/273,379.26
  6. Step 6: Final answer
    x = 125,742.46

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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.