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Finding the Fourth Proportional to 135,743.62, 187,321.59 and 82,019.14

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Solution

The fourth proportional to 135,743.62, 187,321.59 and 82,019.14 is: 113,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,743.62 : 187,321.59 = 82,019.14 : x
  2. Step 2: Convert to fraction form
    135,743.62/187,321.59 = 82,019.14/x
  3. Step 3: Cross multiply
    135,743.62x = 187,321.59 × 82,019.14
  4. Step 4: Simplify right side
    135,743.62x = 15,363,955,715.23
  5. Step 5: Solve for x
    x = 15,363,955,715.23/135,743.62
  6. Step 6: Final answer
    x = 113,183.63

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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.