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Finding the Fourth Proportional to 271,608.80, 408,027.60 and 188,664.80

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Solution

The fourth proportional to 271,608.80, 408,027.60 and 188,664.80 is: 283,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,608.80 : 408,027.60 = 188,664.80 : x
  2. Step 2: Convert to fraction form
    271,608.80/408,027.60 = 188,664.80/x
  3. Step 3: Cross multiply
    271,608.80x = 408,027.60 × 188,664.80
  4. Step 4: Simplify right side
    271,608.80x = 76,980,445,548.48
  5. Step 5: Solve for x
    x = 76,980,445,548.48/271,608.80
  6. Step 6: Final answer
    x = 283,423.97

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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.