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Finding the Fourth Proportional to 273,738.57, 410,608.83 and 84,197.66

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Solution

The fourth proportional to 273,738.57, 410,608.83 and 84,197.66 is: 126,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,738.57 : 410,608.83 = 84,197.66 : x
  2. Step 2: Convert to fraction form
    273,738.57/410,608.83 = 84,197.66/x
  3. Step 3: Cross multiply
    273,738.57x = 410,608.83 × 84,197.66
  4. Step 4: Simplify right side
    273,738.57x = 34,572,300,608.29
  5. Step 5: Solve for x
    x = 34,572,300,608.29/273,738.57
  6. Step 6: Final answer
    x = 126,296.78

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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.