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Finding the Fourth Proportional to 229,137.20, 343,414.20 and 110,553.20

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Solution

The fourth proportional to 229,137.20, 343,414.20 and 110,553.20 is: 165,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,137.20 : 343,414.20 = 110,553.20 : x
  2. Step 2: Convert to fraction form
    229,137.20/343,414.20 = 110,553.20/x
  3. Step 3: Cross multiply
    229,137.20x = 343,414.20 × 110,553.20
  4. Step 4: Simplify right side
    229,137.20x = 37,965,538,735.44
  5. Step 5: Solve for x
    x = 37,965,538,735.44/229,137.20
  6. Step 6: Final answer
    x = 165,689.11

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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.