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Finding the Fourth Proportional to 149,300.44, 206,034.62 and 82,232.44

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Solution

The fourth proportional to 149,300.44, 206,034.62 and 82,232.44 is: 113,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300.44 : 206,034.62 = 82,232.44 : x
  2. Step 2: Convert to fraction form
    149,300.44/206,034.62 = 82,232.44/x
  3. Step 3: Cross multiply
    149,300.44x = 206,034.62 × 82,232.44
  4. Step 4: Simplify right side
    149,300.44x = 16,942,728,600.82
  5. Step 5: Solve for x
    x = 16,942,728,600.82/149,300.44
  6. Step 6: Final answer
    x = 113,480.77

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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.