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Finding the Fourth Proportional to 198,517.86, 273,954.84 and 107,874.84

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Solution

The fourth proportional to 198,517.86, 273,954.84 and 107,874.84 is: 148,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,517.86 : 273,954.84 = 107,874.84 : x
  2. Step 2: Convert to fraction form
    198,517.86/273,954.84 = 107,874.84/x
  3. Step 3: Cross multiply
    198,517.86x = 273,954.84 × 107,874.84
  4. Step 4: Simplify right side
    198,517.86x = 29,552,834,532.23
  5. Step 5: Solve for x
    x = 29,552,834,532.23/198,517.86
  6. Step 6: Final answer
    x = 148,867.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.