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Finding the Fourth Proportional to 225,818.26, 311,612.25 and 123,827.38

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Solution

The fourth proportional to 225,818.26, 311,612.25 and 123,827.38 is: 170,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,818.26 : 311,612.25 = 123,827.38 : x
  2. Step 2: Convert to fraction form
    225,818.26/311,612.25 = 123,827.38/x
  3. Step 3: Cross multiply
    225,818.26x = 311,612.25 × 123,827.38
  4. Step 4: Simplify right side
    225,818.26x = 38,586,128,493.41
  5. Step 5: Solve for x
    x = 38,586,128,493.41/225,818.26
  6. Step 6: Final answer
    x = 170,872.49

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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.