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Finding the Fourth Proportional to 279,410.26, 419,198.14 and 161,166.46

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Solution

The fourth proportional to 279,410.26, 419,198.14 and 161,166.46 is: 241,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,410.26 : 419,198.14 = 161,166.46 : x
  2. Step 2: Convert to fraction form
    279,410.26/419,198.14 = 161,166.46/x
  3. Step 3: Cross multiply
    279,410.26x = 419,198.14 × 161,166.46
  4. Step 4: Simplify right side
    279,410.26x = 67,560,680,262.38
  5. Step 5: Solve for x
    x = 67,560,680,262.38/279,410.26
  6. Step 6: Final answer
    x = 241,797.42

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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.