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Finding the Fourth Proportional to 180,583.90, 270,727.99 and 68,200.31

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Solution

The fourth proportional to 180,583.90, 270,727.99 and 68,200.31 is: 102,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,583.90 : 270,727.99 = 68,200.31 : x
  2. Step 2: Convert to fraction form
    180,583.90/270,727.99 = 68,200.31/x
  3. Step 3: Cross multiply
    180,583.90x = 270,727.99 × 68,200.31
  4. Step 4: Simplify right side
    180,583.90x = 18,463,732,843.68
  5. Step 5: Solve for x
    x = 18,463,732,843.68/180,583.90
  6. Step 6: Final answer
    x = 102,244.62

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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.