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Finding the Fourth Proportional to 226,198.80, 339,346.80 and 68,443.20

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Solution

The fourth proportional to 226,198.80, 339,346.80 and 68,443.20 is: 102,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,198.80 : 339,346.80 = 68,443.20 : x
  2. Step 2: Convert to fraction form
    226,198.80/339,346.80 = 68,443.20/x
  3. Step 3: Cross multiply
    226,198.80x = 339,346.80 × 68,443.20
  4. Step 4: Simplify right side
    226,198.80x = 23,225,980,901.76
  5. Step 5: Solve for x
    x = 23,225,980,901.76/226,198.80
  6. Step 6: Final answer
    x = 102,679.51

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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.