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Finding the Fourth Proportional to 142,638.35, 213,617.93 and 82,540.14

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Solution

The fourth proportional to 142,638.35, 213,617.93 and 82,540.14 is: 123,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,638.35 : 213,617.93 = 82,540.14 : x
  2. Step 2: Convert to fraction form
    142,638.35/213,617.93 = 82,540.14/x
  3. Step 3: Cross multiply
    142,638.35x = 213,617.93 × 82,540.14
  4. Step 4: Simplify right side
    142,638.35x = 17,632,053,433.15
  5. Step 5: Solve for x
    x = 17,632,053,433.15/142,638.35
  6. Step 6: Final answer
    x = 123,613.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.