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Finding the Fourth Proportional to 226,604.96, 339,929.62 and 82,549.92

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Solution

The fourth proportional to 226,604.96, 339,929.62 and 82,549.92 is: 123,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,604.96 : 339,929.62 = 82,549.92 : x
  2. Step 2: Convert to fraction form
    226,604.96/339,929.62 = 82,549.92/x
  3. Step 3: Cross multiply
    226,604.96x = 339,929.62 × 82,549.92
  4. Step 4: Simplify right side
    226,604.96x = 28,061,162,936.63
  5. Step 5: Solve for x
    x = 28,061,162,936.63/226,604.96
  6. Step 6: Final answer
    x = 123,832.96

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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.