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Finding the Fourth Proportional to 132,241, 198,361.50 and 33,745

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Solution

The fourth proportional to 132,241, 198,361.50 and 33,745 is: 50,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,241 : 198,361.50 = 33,745 : x
  2. Step 2: Convert to fraction form
    132,241/198,361.50 = 33,745/x
  3. Step 3: Cross multiply
    132,241x = 198,361.50 × 33,745
  4. Step 4: Simplify right side
    132,241x = 6,693,708,817.50
  5. Step 5: Solve for x
    x = 6,693,708,817.50/132,241
  6. Step 6: Final answer
    x = 50,617.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.