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Finding the Fourth Proportional to 135,614.14, 187,033.62 and 87,224.03

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Solution

The fourth proportional to 135,614.14, 187,033.62 and 87,224.03 is: 120,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,614.14 : 187,033.62 = 87,224.03 : x
  2. Step 2: Convert to fraction form
    135,614.14/187,033.62 = 87,224.03/x
  3. Step 3: Cross multiply
    135,614.14x = 187,033.62 × 87,224.03
  4. Step 4: Simplify right side
    135,614.14x = 16,313,826,081.89
  5. Step 5: Solve for x
    x = 16,313,826,081.89/135,614.14
  6. Step 6: Final answer
    x = 120,295.91

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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.