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Finding the Fourth Proportional to 329,086, 454,138.68 and 178,183

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Solution

The fourth proportional to 329,086, 454,138.68 and 178,183 is: 245,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,086 : 454,138.68 = 178,183 : x
  2. Step 2: Convert to fraction form
    329,086/454,138.68 = 178,183/x
  3. Step 3: Cross multiply
    329,086x = 454,138.68 × 178,183
  4. Step 4: Simplify right side
    329,086x = 80,919,792,418.44
  5. Step 5: Solve for x
    x = 80,919,792,418.44/329,086
  6. Step 6: Final answer
    x = 245,892.54

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Why These Related Problems?

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