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Finding the Fourth Proportional to 232,201.56, 320,441.76 and 130,249.65

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Solution

The fourth proportional to 232,201.56, 320,441.76 and 130,249.65 is: 179,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,201.56 : 320,441.76 = 130,249.65 : x
  2. Step 2: Convert to fraction form
    232,201.56/320,441.76 = 130,249.65/x
  3. Step 3: Cross multiply
    232,201.56x = 320,441.76 × 130,249.65
  4. Step 4: Simplify right side
    232,201.56x = 41,737,427,085.38
  5. Step 5: Solve for x
    x = 41,737,427,085.38/232,201.56
  6. Step 6: Final answer
    x = 179,746.54

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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.