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Finding the Fourth Proportional to 308,896.20, 463,344.30 and 109,441.80

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Solution

The fourth proportional to 308,896.20, 463,344.30 and 109,441.80 is: 164,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,896.20 : 463,344.30 = 109,441.80 : x
  2. Step 2: Convert to fraction form
    308,896.20/463,344.30 = 109,441.80/x
  3. Step 3: Cross multiply
    308,896.20x = 463,344.30 × 109,441.80
  4. Step 4: Simplify right side
    308,896.20x = 50,709,234,211.74
  5. Step 5: Solve for x
    x = 50,709,234,211.74/308,896.20
  6. Step 6: Final answer
    x = 164,162.70

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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.