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Finding the Fourth Proportional to 226,951.75, 340,472.73 and 77,151.81

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Solution

The fourth proportional to 226,951.75, 340,472.73 and 77,151.81 is: 115,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,951.75 : 340,472.73 = 77,151.81 : x
  2. Step 2: Convert to fraction form
    226,951.75/340,472.73 = 77,151.81/x
  3. Step 3: Cross multiply
    226,951.75x = 340,472.73 × 77,151.81
  4. Step 4: Simplify right side
    226,951.75x = 26,268,087,375.14
  5. Step 5: Solve for x
    x = 26,268,087,375.14/226,951.75
  6. Step 6: Final answer
    x = 115,743.05

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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.