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Finding the Fourth Proportional to 222,198.30, 332,325.45 and 198,675.90

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Solution

The fourth proportional to 222,198.30, 332,325.45 and 198,675.90 is: 297,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,198.30 : 332,325.45 = 198,675.90 : x
  2. Step 2: Convert to fraction form
    222,198.30/332,325.45 = 198,675.90/x
  3. Step 3: Cross multiply
    222,198.30x = 332,325.45 × 198,675.90
  4. Step 4: Simplify right side
    222,198.30x = 66,025,057,871.66
  5. Step 5: Solve for x
    x = 66,025,057,871.66/222,198.30
  6. Step 6: Final answer
    x = 297,144.75

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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.