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Finding the Fourth Proportional to 192,014.40, 288,021.60 and 161,601.60

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Solution

The fourth proportional to 192,014.40, 288,021.60 and 161,601.60 is: 242,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,014.40 : 288,021.60 = 161,601.60 : x
  2. Step 2: Convert to fraction form
    192,014.40/288,021.60 = 161,601.60/x
  3. Step 3: Cross multiply
    192,014.40x = 288,021.60 × 161,601.60
  4. Step 4: Simplify right side
    192,014.40x = 46,544,751,394.56
  5. Step 5: Solve for x
    x = 46,544,751,394.56/192,014.40
  6. Step 6: Final answer
    x = 242,402.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.