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Finding the Fourth Proportional to 198,892.49, 298,309.09 and 65,773.44

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Solution

The fourth proportional to 198,892.49, 298,309.09 and 65,773.44 is: 98,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,892.49 : 298,309.09 = 65,773.44 : x
  2. Step 2: Convert to fraction form
    198,892.49/298,309.09 = 65,773.44/x
  3. Step 3: Cross multiply
    198,892.49x = 298,309.09 × 65,773.44
  4. Step 4: Simplify right side
    198,892.49x = 19,620,815,032.57
  5. Step 5: Solve for x
    x = 19,620,815,032.57/198,892.49
  6. Step 6: Final answer
    x = 98,650.36

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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.