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Finding the Fourth Proportional to 192,185.33, 288,027.90 and 78,200.27

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Solution

The fourth proportional to 192,185.33, 288,027.90 and 78,200.27 is: 117,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,185.33 : 288,027.90 = 78,200.27 : x
  2. Step 2: Convert to fraction form
    192,185.33/288,027.90 = 78,200.27/x
  3. Step 3: Cross multiply
    192,185.33x = 288,027.90 × 78,200.27
  4. Step 4: Simplify right side
    192,185.33x = 22,523,859,187.50
  5. Step 5: Solve for x
    x = 22,523,859,187.50/192,185.33
  6. Step 6: Final answer
    x = 117,198.64

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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.