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Finding the Fourth Proportional to 266,198.56, 398,893.80 and 195,168.47

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Solution

The fourth proportional to 266,198.56, 398,893.80 and 195,168.47 is: 292,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,198.56 : 398,893.80 = 195,168.47 : x
  2. Step 2: Convert to fraction form
    266,198.56/398,893.80 = 195,168.47/x
  3. Step 3: Cross multiply
    266,198.56x = 398,893.80 × 195,168.47
  4. Step 4: Simplify right side
    266,198.56x = 77,851,493,635.72
  5. Step 5: Solve for x
    x = 77,851,493,635.72/266,198.56
  6. Step 6: Final answer
    x = 292,456.48

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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.