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Finding the Fourth Proportional to 224,138.20, 336,207.30 and 81,983.20

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Solution

The fourth proportional to 224,138.20, 336,207.30 and 81,983.20 is: 122,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,138.20 : 336,207.30 = 81,983.20 : x
  2. Step 2: Convert to fraction form
    224,138.20/336,207.30 = 81,983.20/x
  3. Step 3: Cross multiply
    224,138.20x = 336,207.30 × 81,983.20
  4. Step 4: Simplify right side
    224,138.20x = 27,563,350,317.36
  5. Step 5: Solve for x
    x = 27,563,350,317.36/224,138.20
  6. Step 6: Final answer
    x = 122,974.80

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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.