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Finding the Fourth Proportional to 194,951.92, 269,021 and 113,272.96

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Solution

The fourth proportional to 194,951.92, 269,021 and 113,272.96 is: 156,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,951.92 : 269,021 = 113,272.96 : x
  2. Step 2: Convert to fraction form
    194,951.92/269,021 = 113,272.96/x
  3. Step 3: Cross multiply
    194,951.92x = 269,021 × 113,272.96
  4. Step 4: Simplify right side
    194,951.92x = 30,472,804,972.16
  5. Step 5: Solve for x
    x = 30,472,804,972.16/194,951.92
  6. Step 6: Final answer
    x = 156,309.33

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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.