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Finding the Fourth Proportional to 122,906.80, 184,394.82 and 111,195.41

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Solution

The fourth proportional to 122,906.80, 184,394.82 and 111,195.41 is: 166,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,906.80 : 184,394.82 = 111,195.41 : x
  2. Step 2: Convert to fraction form
    122,906.80/184,394.82 = 111,195.41/x
  3. Step 3: Cross multiply
    122,906.80x = 184,394.82 × 111,195.41
  4. Step 4: Simplify right side
    122,906.80x = 20,503,857,611.78
  5. Step 5: Solve for x
    x = 20,503,857,611.78/122,906.80
  6. Step 6: Final answer
    x = 166,824.44

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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.