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Finding the Fourth Proportional to 149,144.22, 205,819.06 and 82,076.22

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Solution

The fourth proportional to 149,144.22, 205,819.06 and 82,076.22 is: 113,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,144.22 : 205,819.06 = 82,076.22 : x
  2. Step 2: Convert to fraction form
    149,144.22/205,819.06 = 82,076.22/x
  3. Step 3: Cross multiply
    149,144.22x = 205,819.06 × 82,076.22
  4. Step 4: Simplify right side
    149,144.22x = 16,892,850,448.75
  5. Step 5: Solve for x
    x = 16,892,850,448.75/149,144.22
  6. Step 6: Final answer
    x = 113,265.20

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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.