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Finding the Fourth Proportional to 209,183.49, 313,775.24 and 84,611.97

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Solution

The fourth proportional to 209,183.49, 313,775.24 and 84,611.97 is: 126,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,183.49 : 313,775.24 = 84,611.97 : x
  2. Step 2: Convert to fraction form
    209,183.49/313,775.24 = 84,611.97/x
  3. Step 3: Cross multiply
    209,183.49x = 313,775.24 × 84,611.97
  4. Step 4: Simplify right side
    209,183.49x = 26,549,140,770.56
  5. Step 5: Solve for x
    x = 26,549,140,770.56/209,183.49
  6. Step 6: Final answer
    x = 126,917.96

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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.