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Finding the Fourth Proportional to 226,462.40, 339,698.46 and 82,363.40

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Solution

The fourth proportional to 226,462.40, 339,698.46 and 82,363.40 is: 123,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,462.40 : 339,698.46 = 82,363.40 : x
  2. Step 2: Convert to fraction form
    226,462.40/339,698.46 = 82,363.40/x
  3. Step 3: Cross multiply
    226,462.40x = 339,698.46 × 82,363.40
  4. Step 4: Simplify right side
    226,462.40x = 27,978,720,140.36
  5. Step 5: Solve for x
    x = 27,978,720,140.36/226,462.40
  6. Step 6: Final answer
    x = 123,546.87

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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.