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Finding the Fourth Proportional to 106,906.74, 160,249.38 and 87,988

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Solution

The fourth proportional to 106,906.74, 160,249.38 and 87,988 is: 131,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906.74 : 160,249.38 = 87,988 : x
  2. Step 2: Convert to fraction form
    106,906.74/160,249.38 = 87,988/x
  3. Step 3: Cross multiply
    106,906.74x = 160,249.38 × 87,988
  4. Step 4: Simplify right side
    106,906.74x = 14,100,022,447.44
  5. Step 5: Solve for x
    x = 14,100,022,447.44/106,906.74
  6. Step 6: Final answer
    x = 131,890.87

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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.