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Finding the Fourth Proportional to 226,229.32, 339,287.90 and 76,466.30

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Solution

The fourth proportional to 226,229.32, 339,287.90 and 76,466.30 is: 114,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,229.32 : 339,287.90 = 76,466.30 : x
  2. Step 2: Convert to fraction form
    226,229.32/339,287.90 = 76,466.30/x
  3. Step 3: Cross multiply
    226,229.32x = 339,287.90 × 76,466.30
  4. Step 4: Simplify right side
    226,229.32x = 25,944,090,347.77
  5. Step 5: Solve for x
    x = 25,944,090,347.77/226,229.32
  6. Step 6: Final answer
    x = 114,680.49

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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.