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Finding the Fourth Proportional to 329,136.02, 454,205.10 and 178,233.02

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Solution

The fourth proportional to 329,136.02, 454,205.10 and 178,233.02 is: 245,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,136.02 : 454,205.10 = 178,233.02 : x
  2. Step 2: Convert to fraction form
    329,136.02/454,205.10 = 178,233.02/x
  3. Step 3: Cross multiply
    329,136.02x = 454,205.10 × 178,233.02
  4. Step 4: Simplify right side
    329,136.02x = 80,954,344,401.38
  5. Step 5: Solve for x
    x = 80,954,344,401.38/329,136.02
  6. Step 6: Final answer
    x = 245,960.15

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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.