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Finding the Fourth Proportional to 135,600.75, 203,401.13 and 52,494.75

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Solution

The fourth proportional to 135,600.75, 203,401.13 and 52,494.75 is: 78,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,600.75 : 203,401.13 = 52,494.75 : x
  2. Step 2: Convert to fraction form
    135,600.75/203,401.13 = 52,494.75/x
  3. Step 3: Cross multiply
    135,600.75x = 203,401.13 × 52,494.75
  4. Step 4: Simplify right side
    135,600.75x = 10,677,491,206.59
  5. Step 5: Solve for x
    x = 10,677,491,206.59/135,600.75
  6. Step 6: Final answer
    x = 78,742.13

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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.