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Finding the Fourth Proportional to 269,847.44, 372,720.12 and 202,167.08

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Solution

The fourth proportional to 269,847.44, 372,720.12 and 202,167.08 is: 279,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,847.44 : 372,720.12 = 202,167.08 : x
  2. Step 2: Convert to fraction form
    269,847.44/372,720.12 = 202,167.08/x
  3. Step 3: Cross multiply
    269,847.44x = 372,720.12 × 202,167.08
  4. Step 4: Simplify right side
    269,847.44x = 75,351,738,317.65
  5. Step 5: Solve for x
    x = 75,351,738,317.65/269,847.44
  6. Step 6: Final answer
    x = 279,238.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.