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Finding the Fourth Proportional to 105,115.16, 145,062.30 and 59,791.97

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Solution

The fourth proportional to 105,115.16, 145,062.30 and 59,791.97 is: 82,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,115.16 : 145,062.30 = 59,791.97 : x
  2. Step 2: Convert to fraction form
    105,115.16/145,062.30 = 59,791.97/x
  3. Step 3: Cross multiply
    105,115.16x = 145,062.30 × 59,791.97
  4. Step 4: Simplify right side
    105,115.16x = 8,673,560,689.73
  5. Step 5: Solve for x
    x = 8,673,560,689.73/105,115.16
  6. Step 6: Final answer
    x = 82,514.84

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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.