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Finding the Fourth Proportional to 135,794, 203,742.84 and 52,694.48

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Solution

The fourth proportional to 135,794, 203,742.84 and 52,694.48 is: 79,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,794 : 203,742.84 = 52,694.48 : x
  2. Step 2: Convert to fraction form
    135,794/203,742.84 = 52,694.48/x
  3. Step 3: Cross multiply
    135,794x = 203,742.84 × 52,694.48
  4. Step 4: Simplify right side
    135,794x = 10,736,123,007.52
  5. Step 5: Solve for x
    x = 10,736,123,007.52/135,794
  6. Step 6: Final answer
    x = 79,061.84

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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.