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Finding the Fourth Proportional to 140,891, 194,449.47 and 87,193.31

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Solution

The fourth proportional to 140,891, 194,449.47 and 87,193.31 is: 120,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,891 : 194,449.47 = 87,193.31 : x
  2. Step 2: Convert to fraction form
    140,891/194,449.47 = 87,193.31/x
  3. Step 3: Cross multiply
    140,891x = 194,449.47 × 87,193.31
  4. Step 4: Simplify right side
    140,891x = 16,954,692,917.05
  5. Step 5: Solve for x
    x = 16,954,692,917.05/140,891
  6. Step 6: Final answer
    x = 120,339.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.