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Finding the Fourth Proportional to 199,386.90, 298,822 and 80,993.66

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Solution

The fourth proportional to 199,386.90, 298,822 and 80,993.66 is: 121,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,386.90 : 298,822 = 80,993.66 : x
  2. Step 2: Convert to fraction form
    199,386.90/298,822 = 80,993.66/x
  3. Step 3: Cross multiply
    199,386.90x = 298,822 × 80,993.66
  4. Step 4: Simplify right side
    199,386.90x = 24,202,687,468.52
  5. Step 5: Solve for x
    x = 24,202,687,468.52/199,386.90
  6. Step 6: Final answer
    x = 121,385.54

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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.