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Finding the Fourth Proportional to 132,238.56, 198,357.84 and 33,742.56

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Solution

The fourth proportional to 132,238.56, 198,357.84 and 33,742.56 is: 50,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,238.56 : 198,357.84 = 33,742.56 : x
  2. Step 2: Convert to fraction form
    132,238.56/198,357.84 = 33,742.56/x
  3. Step 3: Cross multiply
    132,238.56x = 198,357.84 × 33,742.56
  4. Step 4: Simplify right side
    132,238.56x = 6,693,101,317.67
  5. Step 5: Solve for x
    x = 6,693,101,317.67/132,238.56
  6. Step 6: Final answer
    x = 50,613.84

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