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Finding the Fourth Proportional to 232,382.25, 320,687.51 and 131,780.25

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Solution

The fourth proportional to 232,382.25, 320,687.51 and 131,780.25 is: 181,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,382.25 : 320,687.51 = 131,780.25 : x
  2. Step 2: Convert to fraction form
    232,382.25/320,687.51 = 131,780.25/x
  3. Step 3: Cross multiply
    232,382.25x = 320,687.51 × 131,780.25
  4. Step 4: Simplify right side
    232,382.25x = 42,260,279,580.78
  5. Step 5: Solve for x
    x = 42,260,279,580.78/232,382.25
  6. Step 6: Final answer
    x = 181,856.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.