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Finding the Fourth Proportional to 266,029.14, 399,039.48 and 123,794.85

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Solution

The fourth proportional to 266,029.14, 399,039.48 and 123,794.85 is: 185,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,029.14 : 399,039.48 = 123,794.85 : x
  2. Step 2: Convert to fraction form
    266,029.14/399,039.48 = 123,794.85/x
  3. Step 3: Cross multiply
    266,029.14x = 399,039.48 × 123,794.85
  4. Step 4: Simplify right side
    266,029.14x = 49,399,032,570.68
  5. Step 5: Solve for x
    x = 49,399,032,570.68/266,029.14
  6. Step 6: Final answer
    x = 185,690.31

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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.