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Finding the Fourth Proportional to 221,708.80, 332,368.80 and 132,997.60

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Solution

The fourth proportional to 221,708.80, 332,368.80 and 132,997.60 is: 199,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,708.80 : 332,368.80 = 132,997.60 : x
  2. Step 2: Convert to fraction form
    221,708.80/332,368.80 = 132,997.60/x
  3. Step 3: Cross multiply
    221,708.80x = 332,368.80 × 132,997.60
  4. Step 4: Simplify right side
    221,708.80x = 44,204,252,714.88
  5. Step 5: Solve for x
    x = 44,204,252,714.88/221,708.80
  6. Step 6: Final answer
    x = 199,379.78

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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.