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Finding the Fourth Proportional to 192,532.20, 288,491.10 and 161,197.80

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Solution

The fourth proportional to 192,532.20, 288,491.10 and 161,197.80 is: 241,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,532.20 : 288,491.10 = 161,197.80 : x
  2. Step 2: Convert to fraction form
    192,532.20/288,491.10 = 161,197.80/x
  3. Step 3: Cross multiply
    192,532.20x = 288,491.10 × 161,197.80
  4. Step 4: Simplify right side
    192,532.20x = 46,504,130,639.58
  5. Step 5: Solve for x
    x = 46,504,130,639.58/192,532.20
  6. Step 6: Final answer
    x = 241,539.50

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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.