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Finding the Fourth Proportional to 207,906.50, 311,879.19 and 67,627.46

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Solution

The fourth proportional to 207,906.50, 311,879.19 and 67,627.46 is: 101,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906.50 : 311,879.19 = 67,627.46 : x
  2. Step 2: Convert to fraction form
    207,906.50/311,879.19 = 67,627.46/x
  3. Step 3: Cross multiply
    207,906.50x = 311,879.19 × 67,627.46
  4. Step 4: Simplify right side
    207,906.50x = 21,091,597,446.56
  5. Step 5: Solve for x
    x = 21,091,597,446.56/207,906.50
  6. Step 6: Final answer
    x = 101,447.51

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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.