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Finding the Fourth Proportional to 180,908.26, 271,375.43 and 47,786.78

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Solution

The fourth proportional to 180,908.26, 271,375.43 and 47,786.78 is: 71,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,908.26 : 271,375.43 = 47,786.78 : x
  2. Step 2: Convert to fraction form
    180,908.26/271,375.43 = 47,786.78/x
  3. Step 3: Cross multiply
    180,908.26x = 271,375.43 × 47,786.78
  4. Step 4: Simplify right side
    180,908.26x = 12,968,158,410.32
  5. Step 5: Solve for x
    x = 12,968,158,410.32/180,908.26
  6. Step 6: Final answer
    x = 71,683.62

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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.