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Finding the Fourth Proportional to 225,882, 311,717.70 and 125,299.44

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Solution

The fourth proportional to 225,882, 311,717.70 and 125,299.44 is: 172,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,882 : 311,717.70 = 125,299.44 : x
  2. Step 2: Convert to fraction form
    225,882/311,717.70 = 125,299.44/x
  3. Step 3: Cross multiply
    225,882x = 311,717.70 × 125,299.44
  4. Step 4: Simplify right side
    225,882x = 39,058,053,248.09
  5. Step 5: Solve for x
    x = 39,058,053,248.09/225,882
  6. Step 6: Final answer
    x = 172,913.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.