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Finding the Fourth Proportional to 228,571.26, 342,879.43 and 78,791.84

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Solution

The fourth proportional to 228,571.26, 342,879.43 and 78,791.84 is: 118,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,571.26 : 342,879.43 = 78,791.84 : x
  2. Step 2: Convert to fraction form
    228,571.26/342,879.43 = 78,791.84/x
  3. Step 3: Cross multiply
    228,571.26x = 342,879.43 × 78,791.84
  4. Step 4: Simplify right side
    228,571.26x = 27,016,099,473.45
  5. Step 5: Solve for x
    x = 27,016,099,473.45/228,571.26
  6. Step 6: Final answer
    x = 118,195.52

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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.