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Finding the Fourth Proportional to 232,886, 321,382.68 and 126,902

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Solution

The fourth proportional to 232,886, 321,382.68 and 126,902 is: 175,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,886 : 321,382.68 = 126,902 : x
  2. Step 2: Convert to fraction form
    232,886/321,382.68 = 126,902/x
  3. Step 3: Cross multiply
    232,886x = 321,382.68 × 126,902
  4. Step 4: Simplify right side
    232,886x = 40,784,104,857.36
  5. Step 5: Solve for x
    x = 40,784,104,857.36/232,886
  6. Step 6: Final answer
    x = 175,124.76

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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.