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Finding the Fourth Proportional to 226,693.26, 312,920.91 and 194,733.90

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Solution

The fourth proportional to 226,693.26, 312,920.91 and 194,733.90 is: 268,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,693.26 : 312,920.91 = 194,733.90 : x
  2. Step 2: Convert to fraction form
    226,693.26/312,920.91 = 194,733.90/x
  3. Step 3: Cross multiply
    226,693.26x = 312,920.91 × 194,733.90
  4. Step 4: Simplify right side
    226,693.26x = 60,936,309,195.85
  5. Step 5: Solve for x
    x = 60,936,309,195.85/226,693.26
  6. Step 6: Final answer
    x = 268,805.12

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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.