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Finding the Fourth Proportional to 226,380, 339,052.92 and 108,135

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Solution

The fourth proportional to 226,380, 339,052.92 and 108,135 is: 161,955.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,380 : 339,052.92 = 108,135 : x
  2. Step 2: Convert to fraction form
    226,380/339,052.92 = 108,135/x
  3. Step 3: Cross multiply
    226,380x = 339,052.92 × 108,135
  4. Step 4: Simplify right side
    226,380x = 36,663,487,504.20
  5. Step 5: Solve for x
    x = 36,663,487,504.20/226,380
  6. Step 6: Final answer
    x = 161,955.51

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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.