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Finding the Fourth Proportional to 192,004.20, 288,006.30 and 145,348.20

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Solution

The fourth proportional to 192,004.20, 288,006.30 and 145,348.20 is: 218,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,004.20 : 288,006.30 = 145,348.20 : x
  2. Step 2: Convert to fraction form
    192,004.20/288,006.30 = 145,348.20/x
  3. Step 3: Cross multiply
    192,004.20x = 288,006.30 × 145,348.20
  4. Step 4: Simplify right side
    192,004.20x = 41,861,197,293.66
  5. Step 5: Solve for x
    x = 41,861,197,293.66/192,004.20
  6. Step 6: Final answer
    x = 218,022.30

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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.