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Finding the Fourth Proportional to 199,268.20, 299,072.40 and 81,024.40

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Solution

The fourth proportional to 199,268.20, 299,072.40 and 81,024.40 is: 121,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,268.20 : 299,072.40 = 81,024.40 : x
  2. Step 2: Convert to fraction form
    199,268.20/299,072.40 = 81,024.40/x
  3. Step 3: Cross multiply
    199,268.20x = 299,072.40 × 81,024.40
  4. Step 4: Simplify right side
    199,268.20x = 24,232,161,766.56
  5. Step 5: Solve for x
    x = 24,232,161,766.56/199,268.20
  6. Step 6: Final answer
    x = 121,605.76

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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.