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Finding the Fourth Proportional to 181,213.40, 271,949.70 and 76,107.80

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Solution

The fourth proportional to 181,213.40, 271,949.70 and 76,107.80 is: 114,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,213.40 : 271,949.70 = 76,107.80 : x
  2. Step 2: Convert to fraction form
    181,213.40/271,949.70 = 76,107.80/x
  3. Step 3: Cross multiply
    181,213.40x = 271,949.70 × 76,107.80
  4. Step 4: Simplify right side
    181,213.40x = 20,697,493,377.66
  5. Step 5: Solve for x
    x = 20,697,493,377.66/181,213.40
  6. Step 6: Final answer
    x = 114,216.13

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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.