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Finding the Fourth Proportional to 149,297.54, 206,030.60 and 82,229.54

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Solution

The fourth proportional to 149,297.54, 206,030.60 and 82,229.54 is: 113,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,297.54 : 206,030.60 = 82,229.54 : x
  2. Step 2: Convert to fraction form
    149,297.54/206,030.60 = 82,229.54/x
  3. Step 3: Cross multiply
    149,297.54x = 206,030.60 × 82,229.54
  4. Step 4: Simplify right side
    149,297.54x = 16,941,800,022.62
  5. Step 5: Solve for x
    x = 16,941,800,022.62/149,297.54
  6. Step 6: Final answer
    x = 113,476.76

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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.