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Finding the Fourth Proportional to 266,098.20, 399,147.30 and 196,114.20

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Solution

The fourth proportional to 266,098.20, 399,147.30 and 196,114.20 is: 294,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,098.20 : 399,147.30 = 196,114.20 : x
  2. Step 2: Convert to fraction form
    266,098.20/399,147.30 = 196,114.20/x
  3. Step 3: Cross multiply
    266,098.20x = 399,147.30 × 196,114.20
  4. Step 4: Simplify right side
    266,098.20x = 78,278,453,421.66
  5. Step 5: Solve for x
    x = 78,278,453,421.66/266,098.20
  6. Step 6: Final answer
    x = 294,171.30

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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.