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Finding the Fourth Proportional to 206,083.91, 309,169.99 and 63,926.10

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Solution

The fourth proportional to 206,083.91, 309,169.99 and 63,926.10 is: 95,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,083.91 : 309,169.99 = 63,926.10 : x
  2. Step 2: Convert to fraction form
    206,083.91/309,169.99 = 63,926.10/x
  3. Step 3: Cross multiply
    206,083.91x = 309,169.99 × 63,926.10
  4. Step 4: Simplify right side
    206,083.91x = 19,764,032,467.40
  5. Step 5: Solve for x
    x = 19,764,032,467.40/206,083.91
  6. Step 6: Final answer
    x = 95,902.84

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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.