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Finding the Fourth Proportional to 272,188.23, 408,255.97 and 82,650.26

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Solution

The fourth proportional to 272,188.23, 408,255.97 and 82,650.26 is: 123,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,188.23 : 408,255.97 = 82,650.26 : x
  2. Step 2: Convert to fraction form
    272,188.23/408,255.97 = 82,650.26/x
  3. Step 3: Cross multiply
    272,188.23x = 408,255.97 × 82,650.26
  4. Step 4: Simplify right side
    272,188.23x = 33,742,462,067.05
  5. Step 5: Solve for x
    x = 33,742,462,067.05/272,188.23
  6. Step 6: Final answer
    x = 123,967.38

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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.