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Finding the Fourth Proportional to 266,029.20, 399,043.80 and 206,542.80

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Solution

The fourth proportional to 266,029.20, 399,043.80 and 206,542.80 is: 309,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,029.20 : 399,043.80 = 206,542.80 : x
  2. Step 2: Convert to fraction form
    266,029.20/399,043.80 = 206,542.80/x
  3. Step 3: Cross multiply
    266,029.20x = 399,043.80 × 206,542.80
  4. Step 4: Simplify right side
    266,029.20x = 82,419,623,774.64
  5. Step 5: Solve for x
    x = 82,419,623,774.64/266,029.20
  6. Step 6: Final answer
    x = 309,814.20

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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.