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Finding the Fourth Proportional to 275,494.20, 413,202.06 and 88,481.40

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Solution

The fourth proportional to 275,494.20, 413,202.06 and 88,481.40 is: 132,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,494.20 : 413,202.06 = 88,481.40 : x
  2. Step 2: Convert to fraction form
    275,494.20/413,202.06 = 88,481.40/x
  3. Step 3: Cross multiply
    275,494.20x = 413,202.06 × 88,481.40
  4. Step 4: Simplify right side
    275,494.20x = 36,560,696,751.68
  5. Step 5: Solve for x
    x = 36,560,696,751.68/275,494.20
  6. Step 6: Final answer
    x = 132,709.50

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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.