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Finding the Fourth Proportional to 179,832, 269,760.96 and 69,024

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Solution

The fourth proportional to 179,832, 269,760.96 and 69,024 is: 103,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,832 : 269,760.96 = 69,024 : x
  2. Step 2: Convert to fraction form
    179,832/269,760.96 = 69,024/x
  3. Step 3: Cross multiply
    179,832x = 269,760.96 × 69,024
  4. Step 4: Simplify right side
    179,832x = 18,619,980,503.04
  5. Step 5: Solve for x
    x = 18,619,980,503.04/179,832
  6. Step 6: Final answer
    x = 103,540.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.