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Finding the Fourth Proportional to 149,213.26, 205,914.18 and 82,145.26

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Solution

The fourth proportional to 149,213.26, 205,914.18 and 82,145.26 is: 113,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,213.26 : 205,914.18 = 82,145.26 : x
  2. Step 2: Convert to fraction form
    149,213.26/205,914.18 = 82,145.26/x
  3. Step 3: Cross multiply
    149,213.26x = 205,914.18 × 82,145.26
  4. Step 4: Simplify right side
    149,213.26x = 16,914,873,853.79
  5. Step 5: Solve for x
    x = 16,914,873,853.79/149,213.26
  6. Step 6: Final answer
    x = 113,360.39

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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.