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Finding the Fourth Proportional to 198,992.38, 274,611.38 and 114,093.04

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Solution

The fourth proportional to 198,992.38, 274,611.38 and 114,093.04 is: 157,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,992.38 : 274,611.38 = 114,093.04 : x
  2. Step 2: Convert to fraction form
    198,992.38/274,611.38 = 114,093.04/x
  3. Step 3: Cross multiply
    198,992.38x = 274,611.38 × 114,093.04
  4. Step 4: Simplify right side
    198,992.38x = 31,331,247,162.80
  5. Step 5: Solve for x
    x = 31,331,247,162.80/198,992.38
  6. Step 6: Final answer
    x = 157,449.48

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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.