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Finding the Fourth Proportional to 232,306.61, 320,615.89 and 135,542.39

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Solution

The fourth proportional to 232,306.61, 320,615.89 and 135,542.39 is: 187,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,306.61 : 320,615.89 = 135,542.39 : x
  2. Step 2: Convert to fraction form
    232,306.61/320,615.89 = 135,542.39/x
  3. Step 3: Cross multiply
    232,306.61x = 320,615.89 × 135,542.39
  4. Step 4: Simplify right side
    232,306.61x = 43,457,042,060.64
  5. Step 5: Solve for x
    x = 43,457,042,060.64/232,306.61
  6. Step 6: Final answer
    x = 187,067.61

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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.