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Finding the Fourth Proportional to 198,652, 298,165.26 and 72,414.26

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Solution

The fourth proportional to 198,652, 298,165.26 and 72,414.26 is: 108,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,652 : 298,165.26 = 72,414.26 : x
  2. Step 2: Convert to fraction form
    198,652/298,165.26 = 72,414.26/x
  3. Step 3: Cross multiply
    198,652x = 298,165.26 × 72,414.26
  4. Step 4: Simplify right side
    198,652x = 21,591,416,660.61
  5. Step 5: Solve for x
    x = 21,591,416,660.61/198,652
  6. Step 6: Final answer
    x = 108,689.65

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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.