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Finding the Fourth Proportional to 149,618.25, 206,473.19 and 82,550.25

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Solution

The fourth proportional to 149,618.25, 206,473.19 and 82,550.25 is: 113,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,618.25 : 206,473.19 = 82,550.25 : x
  2. Step 2: Convert to fraction form
    149,618.25/206,473.19 = 82,550.25/x
  3. Step 3: Cross multiply
    149,618.25x = 206,473.19 × 82,550.25
  4. Step 4: Simplify right side
    149,618.25x = 17,044,413,040.05
  5. Step 5: Solve for x
    x = 17,044,413,040.05/149,618.25
  6. Step 6: Final answer
    x = 113,919.35

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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.