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Finding the Fourth Proportional to 232,021.38, 320,189.52 and 131,419.38

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Solution

The fourth proportional to 232,021.38, 320,189.52 and 131,419.38 is: 181,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,021.38 : 320,189.52 = 131,419.38 : x
  2. Step 2: Convert to fraction form
    232,021.38/320,189.52 = 131,419.38/x
  3. Step 3: Cross multiply
    232,021.38x = 320,189.52 × 131,419.38
  4. Step 4: Simplify right side
    232,021.38x = 42,079,108,200.90
  5. Step 5: Solve for x
    x = 42,079,108,200.90/232,021.38
  6. Step 6: Final answer
    x = 181,358.75

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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.