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Finding the Fourth Proportional to 147,096, 202,992.48 and 80,028.48

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Solution

The fourth proportional to 147,096, 202,992.48 and 80,028.48 is: 110,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,096 : 202,992.48 = 80,028.48 : x
  2. Step 2: Convert to fraction form
    147,096/202,992.48 = 80,028.48/x
  3. Step 3: Cross multiply
    147,096x = 202,992.48 × 80,028.48
  4. Step 4: Simplify right side
    147,096x = 16,245,179,625.83
  5. Step 5: Solve for x
    x = 16,245,179,625.83/147,096
  6. Step 6: Final answer
    x = 110,439.30

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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.