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Finding the Fourth Proportional to 226,693.45, 312,921.17 and 194,734.09

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Solution

The fourth proportional to 226,693.45, 312,921.17 and 194,734.09 is: 268,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,693.45 : 312,921.17 = 194,734.09 : x
  2. Step 2: Convert to fraction form
    226,693.45/312,921.17 = 194,734.09/x
  3. Step 3: Cross multiply
    226,693.45x = 312,921.17 × 194,734.09
  4. Step 4: Simplify right side
    226,693.45x = 60,936,418,255.96
  5. Step 5: Solve for x
    x = 60,936,418,255.96/226,693.45
  6. Step 6: Final answer
    x = 268,805.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.