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Finding the Fourth Proportional to 198,224.70, 296,729.55 and 109,205.70

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Solution

The fourth proportional to 198,224.70, 296,729.55 and 109,205.70 is: 163,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,224.70 : 296,729.55 = 109,205.70 : x
  2. Step 2: Convert to fraction form
    198,224.70/296,729.55 = 109,205.70/x
  3. Step 3: Cross multiply
    198,224.70x = 296,729.55 × 109,205.70
  4. Step 4: Simplify right side
    198,224.70x = 32,404,558,218.44
  5. Step 5: Solve for x
    x = 32,404,558,218.44/198,224.70
  6. Step 6: Final answer
    x = 163,473.87

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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.