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Finding the Fourth Proportional to 135,954.36, 203,960.67 and 57,023.10

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Solution

The fourth proportional to 135,954.36, 203,960.67 and 57,023.10 is: 85,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,954.36 : 203,960.67 = 57,023.10 : x
  2. Step 2: Convert to fraction form
    135,954.36/203,960.67 = 57,023.10/x
  3. Step 3: Cross multiply
    135,954.36x = 203,960.67 × 57,023.10
  4. Step 4: Simplify right side
    135,954.36x = 11,630,469,681.48
  5. Step 5: Solve for x
    x = 11,630,469,681.48/135,954.36
  6. Step 6: Final answer
    x = 85,546.87

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Why These Related Problems?

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