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Finding the Fourth Proportional to 198,713.43, 298,006.92 and 65,568.87

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Solution

The fourth proportional to 198,713.43, 298,006.92 and 65,568.87 is: 98,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,713.43 : 298,006.92 = 65,568.87 : x
  2. Step 2: Convert to fraction form
    198,713.43/298,006.92 = 65,568.87/x
  3. Step 3: Cross multiply
    198,713.43x = 298,006.92 × 65,568.87
  4. Step 4: Simplify right side
    198,713.43x = 19,539,976,996.58
  5. Step 5: Solve for x
    x = 19,539,976,996.58/198,713.43
  6. Step 6: Final answer
    x = 98,332.44

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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.