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Finding the Fourth Proportional to 225,694, 311,458.26 and 125,092

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Solution

The fourth proportional to 225,694, 311,458.26 and 125,092 is: 172,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,694 : 311,458.26 = 125,092 : x
  2. Step 2: Convert to fraction form
    225,694/311,458.26 = 125,092/x
  3. Step 3: Cross multiply
    225,694x = 311,458.26 × 125,092
  4. Step 4: Simplify right side
    225,694x = 38,960,936,659.92
  5. Step 5: Solve for x
    x = 38,960,936,659.92/225,694
  6. Step 6: Final answer
    x = 172,627.26

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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.