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Finding the Fourth Proportional to 192,499.20, 288,441.60 and 161,164.80

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Solution

The fourth proportional to 192,499.20, 288,441.60 and 161,164.80 is: 241,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,499.20 : 288,441.60 = 161,164.80 : x
  2. Step 2: Convert to fraction form
    192,499.20/288,441.60 = 161,164.80/x
  3. Step 3: Cross multiply
    192,499.20x = 288,441.60 × 161,164.80
  4. Step 4: Simplify right side
    192,499.20x = 46,486,632,775.68
  5. Step 5: Solve for x
    x = 46,486,632,775.68/192,499.20
  6. Step 6: Final answer
    x = 241,490.01

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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.