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Finding the Fourth Proportional to 198,960.70, 298,241.42 and 92,419.44

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Solution

The fourth proportional to 198,960.70, 298,241.42 and 92,419.44 is: 138,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,960.70 : 298,241.42 = 92,419.44 : x
  2. Step 2: Convert to fraction form
    198,960.70/298,241.42 = 92,419.44/x
  3. Step 3: Cross multiply
    198,960.70x = 298,241.42 × 92,419.44
  4. Step 4: Simplify right side
    198,960.70x = 27,563,305,021.20
  5. Step 5: Solve for x
    x = 27,563,305,021.20/198,960.70
  6. Step 6: Final answer
    x = 138,536.43

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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.