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Finding the Fourth Proportional to 135,105.27, 186,446 and 73,851.54

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Solution

The fourth proportional to 135,105.27, 186,446 and 73,851.54 is: 101,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,105.27 : 186,446 = 73,851.54 : x
  2. Step 2: Convert to fraction form
    135,105.27/186,446 = 73,851.54/x
  3. Step 3: Cross multiply
    135,105.27x = 186,446 × 73,851.54
  4. Step 4: Simplify right side
    135,105.27x = 13,769,324,226.84
  5. Step 5: Solve for x
    x = 13,769,324,226.84/135,105.27
  6. Step 6: Final answer
    x = 101,915.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.