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Finding the Fourth Proportional to 273,747.50, 410,622.27 and 84,206.60

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Solution

The fourth proportional to 273,747.50, 410,622.27 and 84,206.60 is: 126,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,747.50 : 410,622.27 = 84,206.60 : x
  2. Step 2: Convert to fraction form
    273,747.50/410,622.27 = 84,206.60/x
  3. Step 3: Cross multiply
    273,747.50x = 410,622.27 × 84,206.60
  4. Step 4: Simplify right side
    273,747.50x = 34,577,105,240.98
  5. Step 5: Solve for x
    x = 34,577,105,240.98/273,747.50
  6. Step 6: Final answer
    x = 126,310.21

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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.