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Finding the Fourth Proportional to 226,951.92, 340,729.44 and 193,884.48

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Solution

The fourth proportional to 226,951.92, 340,729.44 and 193,884.48 is: 291,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,951.92 : 340,729.44 = 193,884.48 : x
  2. Step 2: Convert to fraction form
    226,951.92/340,729.44 = 193,884.48/x
  3. Step 3: Cross multiply
    226,951.92x = 340,729.44 × 193,884.48
  4. Step 4: Simplify right side
    226,951.92x = 66,062,150,295.09
  5. Step 5: Solve for x
    x = 66,062,150,295.09/226,951.92
  6. Step 6: Final answer
    x = 291,084.34

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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.