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Finding the Fourth Proportional to 232,463.68, 320,789.37 and 141,805.24

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Solution

The fourth proportional to 232,463.68, 320,789.37 and 141,805.24 is: 195,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,463.68 : 320,789.37 = 141,805.24 : x
  2. Step 2: Convert to fraction form
    232,463.68/320,789.37 = 141,805.24/x
  3. Step 3: Cross multiply
    232,463.68x = 320,789.37 × 141,805.24
  4. Step 4: Simplify right side
    232,463.68x = 45,489,613,602.30
  5. Step 5: Solve for x
    x = 45,489,613,602.30/232,463.68
  6. Step 6: Final answer
    x = 195,684.82

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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.