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Finding the Fourth Proportional to 308,961.40, 463,614.90 and 131,438.20

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Solution

The fourth proportional to 308,961.40, 463,614.90 and 131,438.20 is: 197,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,961.40 : 463,614.90 = 131,438.20 : x
  2. Step 2: Convert to fraction form
    308,961.40/463,614.90 = 131,438.20/x
  3. Step 3: Cross multiply
    308,961.40x = 463,614.90 × 131,438.20
  4. Step 4: Simplify right side
    308,961.40x = 60,936,707,949.18
  5. Step 5: Solve for x
    x = 60,936,707,949.18/308,961.40
  6. Step 6: Final answer
    x = 197,230.81

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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.