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Finding the Fourth Proportional to 232,884, 321,379.92 and 126,900

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Solution

The fourth proportional to 232,884, 321,379.92 and 126,900 is: 175,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,884 : 321,379.92 = 126,900 : x
  2. Step 2: Convert to fraction form
    232,884/321,379.92 = 126,900/x
  3. Step 3: Cross multiply
    232,884x = 321,379.92 × 126,900
  4. Step 4: Simplify right side
    232,884x = 40,783,111,848
  5. Step 5: Solve for x
    x = 40,783,111,848/232,884
  6. Step 6: Final answer
    x = 175,122

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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.