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Finding the Fourth Proportional to 198,615.32, 297,829.14 and 72,167.42

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Solution

The fourth proportional to 198,615.32, 297,829.14 and 72,167.42 is: 108,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,615.32 : 297,829.14 = 72,167.42 : x
  2. Step 2: Convert to fraction form
    198,615.32/297,829.14 = 72,167.42/x
  3. Step 3: Cross multiply
    198,615.32x = 297,829.14 × 72,167.42
  4. Step 4: Simplify right side
    198,615.32x = 21,493,560,634.62
  5. Step 5: Solve for x
    x = 21,493,560,634.62/198,615.32
  6. Step 6: Final answer
    x = 108,217.03

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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.