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Finding the Fourth Proportional to 228,233.52, 314,934.36 and 126,251.92

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Solution

The fourth proportional to 228,233.52, 314,934.36 and 126,251.92 is: 174,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,233.52 : 314,934.36 = 126,251.92 : x
  2. Step 2: Convert to fraction form
    228,233.52/314,934.36 = 126,251.92/x
  3. Step 3: Cross multiply
    228,233.52x = 314,934.36 × 126,251.92
  4. Step 4: Simplify right side
    228,233.52x = 39,761,067,623.97
  5. Step 5: Solve for x
    x = 39,761,067,623.97/228,233.52
  6. Step 6: Final answer
    x = 174,212.22

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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.