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Finding the Fourth Proportional to 149,761.44, 206,669.52 and 82,692

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Solution

The fourth proportional to 149,761.44, 206,669.52 and 82,692 is: 114,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,761.44 : 206,669.52 = 82,692 : x
  2. Step 2: Convert to fraction form
    149,761.44/206,669.52 = 82,692/x
  3. Step 3: Cross multiply
    149,761.44x = 206,669.52 × 82,692
  4. Step 4: Simplify right side
    149,761.44x = 17,089,915,947.84
  5. Step 5: Solve for x
    x = 17,089,915,947.84/149,761.44
  6. Step 6: Final answer
    x = 114,114.26

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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.