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Finding the Fourth Proportional to 179,906, 269,872.08 and 69,098

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Solution

The fourth proportional to 179,906, 269,872.08 and 69,098 is: 103,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,906 : 269,872.08 = 69,098 : x
  2. Step 2: Convert to fraction form
    179,906/269,872.08 = 69,098/x
  3. Step 3: Cross multiply
    179,906x = 269,872.08 × 69,098
  4. Step 4: Simplify right side
    179,906x = 18,647,620,983.84
  5. Step 5: Solve for x
    x = 18,647,620,983.84/179,906
  6. Step 6: Final answer
    x = 103,652.02

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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.