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Finding the Fourth Proportional to 222,046.80, 332,098.20 and 198,524.40

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Solution

The fourth proportional to 222,046.80, 332,098.20 and 198,524.40 is: 296,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,046.80 : 332,098.20 = 198,524.40 : x
  2. Step 2: Convert to fraction form
    222,046.80/332,098.20 = 198,524.40/x
  3. Step 3: Cross multiply
    222,046.80x = 332,098.20 × 198,524.40
  4. Step 4: Simplify right side
    222,046.80x = 65,929,595,896.08
  5. Step 5: Solve for x
    x = 65,929,595,896.08/222,046.80
  6. Step 6: Final answer
    x = 296,917.57

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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.