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Finding the Fourth Proportional to 226,008, 339,002.28 and 68,231.76

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Solution

The fourth proportional to 226,008, 339,002.28 and 68,231.76 is: 102,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,008 : 339,002.28 = 68,231.76 : x
  2. Step 2: Convert to fraction form
    226,008/339,002.28 = 68,231.76/x
  3. Step 3: Cross multiply
    226,008x = 339,002.28 × 68,231.76
  4. Step 4: Simplify right side
    226,008x = 23,130,722,208.41
  5. Step 5: Solve for x
    x = 23,130,722,208.41/226,008
  6. Step 6: Final answer
    x = 102,344.71

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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.