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Finding the Fourth Proportional to 132,196.37, 198,297.12 and 32,357.44

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Solution

The fourth proportional to 132,196.37, 198,297.12 and 32,357.44 is: 48,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,196.37 : 198,297.12 = 32,357.44 : x
  2. Step 2: Convert to fraction form
    132,196.37/198,297.12 = 32,357.44/x
  3. Step 3: Cross multiply
    132,196.37x = 198,297.12 × 32,357.44
  4. Step 4: Simplify right side
    132,196.37x = 6,416,387,162.57
  5. Step 5: Solve for x
    x = 6,416,387,162.57/132,196.37
  6. Step 6: Final answer
    x = 48,536.79

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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.