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Finding the Fourth Proportional to 198,711.60, 298,067.49 and 48,954.81

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Solution

The fourth proportional to 198,711.60, 298,067.49 and 48,954.81 is: 73,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,711.60 : 298,067.49 = 48,954.81 : x
  2. Step 2: Convert to fraction form
    198,711.60/298,067.49 = 48,954.81/x
  3. Step 3: Cross multiply
    198,711.60x = 298,067.49 × 48,954.81
  4. Step 4: Simplify right side
    198,711.60x = 14,591,835,605.02
  5. Step 5: Solve for x
    x = 14,591,835,605.02/198,711.60
  6. Step 6: Final answer
    x = 73,432.23

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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.