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Finding the Fourth Proportional to 329,114.57, 454,178.12 and 178,211.57

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Solution

The fourth proportional to 329,114.57, 454,178.12 and 178,211.57 is: 245,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,114.57 : 454,178.12 = 178,211.57 : x
  2. Step 2: Convert to fraction form
    329,114.57/454,178.12 = 178,211.57/x
  3. Step 3: Cross multiply
    329,114.57x = 454,178.12 × 178,211.57
  4. Step 4: Simplify right side
    329,114.57x = 80,939,795,824.85
  5. Step 5: Solve for x
    x = 80,939,795,824.85/329,114.57
  6. Step 6: Final answer
    x = 245,931.97

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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.