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Finding the Fourth Proportional to 303,765.97, 419,195.37 and 167,809.27

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Solution

The fourth proportional to 303,765.97, 419,195.37 and 167,809.27 is: 231,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,765.97 : 419,195.37 = 167,809.27 : x
  2. Step 2: Convert to fraction form
    303,765.97/419,195.37 = 167,809.27/x
  3. Step 3: Cross multiply
    303,765.97x = 419,195.37 × 167,809.27
  4. Step 4: Simplify right side
    303,765.97x = 70,344,869,027.08
  5. Step 5: Solve for x
    x = 70,344,869,027.08/303,765.97
  6. Step 6: Final answer
    x = 231,575.87

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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.