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Finding the Fourth Proportional to 202,136.10, 303,204.15 and 192,294.60

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Solution

The fourth proportional to 202,136.10, 303,204.15 and 192,294.60 is: 288,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136.10 : 303,204.15 = 192,294.60 : x
  2. Step 2: Convert to fraction form
    202,136.10/303,204.15 = 192,294.60/x
  3. Step 3: Cross multiply
    202,136.10x = 303,204.15 × 192,294.60
  4. Step 4: Simplify right side
    202,136.10x = 58,304,520,742.59
  5. Step 5: Solve for x
    x = 58,304,520,742.59/202,136.10
  6. Step 6: Final answer
    x = 288,441.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.