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Finding the Fourth Proportional to 221,408.10, 332,112.15 and 132,615.90

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Solution

The fourth proportional to 221,408.10, 332,112.15 and 132,615.90 is: 198,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,408.10 : 332,112.15 = 132,615.90 : x
  2. Step 2: Convert to fraction form
    221,408.10/332,112.15 = 132,615.90/x
  3. Step 3: Cross multiply
    221,408.10x = 332,112.15 × 132,615.90
  4. Step 4: Simplify right side
    221,408.10x = 44,043,351,673.19
  5. Step 5: Solve for x
    x = 44,043,351,673.19/221,408.10
  6. Step 6: Final answer
    x = 198,923.85

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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.