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Finding the Fourth Proportional to 329,100.48, 454,158 and 178,197.84

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Solution

The fourth proportional to 329,100.48, 454,158 and 178,197.84 is: 245,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,100.48 : 454,158 = 178,197.84 : x
  2. Step 2: Convert to fraction form
    329,100.48/454,158 = 178,197.84/x
  3. Step 3: Cross multiply
    329,100.48x = 454,158 × 178,197.84
  4. Step 4: Simplify right side
    329,100.48x = 80,929,974,618.72
  5. Step 5: Solve for x
    x = 80,929,974,618.72/329,100.48
  6. Step 6: Final answer
    x = 245,912.66

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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.