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Finding the Fourth Proportional to 329,082.75, 454,134.20 and 178,179.75

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Solution

The fourth proportional to 329,082.75, 454,134.20 and 178,179.75 is: 245,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,082.75 : 454,134.20 = 178,179.75 : x
  2. Step 2: Convert to fraction form
    329,082.75/454,134.20 = 178,179.75/x
  3. Step 3: Cross multiply
    329,082.75x = 454,134.20 × 178,179.75
  4. Step 4: Simplify right side
    329,082.75x = 80,917,517,331.55
  5. Step 5: Solve for x
    x = 80,917,517,331.55/329,082.75
  6. Step 6: Final answer
    x = 245,888.06

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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.