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Finding the Fourth Proportional to 199,727.70, 299,336.40 and 81,265.20

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Solution

The fourth proportional to 199,727.70, 299,336.40 and 81,265.20 is: 121,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,727.70 : 299,336.40 = 81,265.20 : x
  2. Step 2: Convert to fraction form
    199,727.70/299,336.40 = 81,265.20/x
  3. Step 3: Cross multiply
    199,727.70x = 299,336.40 × 81,265.20
  4. Step 4: Simplify right side
    199,727.70x = 24,325,632,413.28
  5. Step 5: Solve for x
    x = 24,325,632,413.28/199,727.70
  6. Step 6: Final answer
    x = 121,793.98

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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.