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Finding the Fourth Proportional to 192,495.50, 288,743.25 and 80,228.60

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Solution

The fourth proportional to 192,495.50, 288,743.25 and 80,228.60 is: 120,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,495.50 : 288,743.25 = 80,228.60 : x
  2. Step 2: Convert to fraction form
    192,495.50/288,743.25 = 80,228.60/x
  3. Step 3: Cross multiply
    192,495.50x = 288,743.25 × 80,228.60
  4. Step 4: Simplify right side
    192,495.50x = 23,165,466,706.95
  5. Step 5: Solve for x
    x = 23,165,466,706.95/192,495.50
  6. Step 6: Final answer
    x = 120,342.90

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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.