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Finding the Fourth Proportional to 226,105.92, 312,010.56 and 125,496

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Solution

The fourth proportional to 226,105.92, 312,010.56 and 125,496 is: 173,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,105.92 : 312,010.56 = 125,496 : x
  2. Step 2: Convert to fraction form
    226,105.92/312,010.56 = 125,496/x
  3. Step 3: Cross multiply
    226,105.92x = 312,010.56 × 125,496
  4. Step 4: Simplify right side
    226,105.92x = 39,156,077,237.76
  5. Step 5: Solve for x
    x = 39,156,077,237.76/226,105.92
  6. Step 6: Final answer
    x = 173,175.82

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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.