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Finding the Fourth Proportional to 221,413.80, 332,120.70 and 206,542.20

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Solution

The fourth proportional to 221,413.80, 332,120.70 and 206,542.20 is: 309,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,413.80 : 332,120.70 = 206,542.20 : x
  2. Step 2: Convert to fraction form
    221,413.80/332,120.70 = 206,542.20/x
  3. Step 3: Cross multiply
    221,413.80x = 332,120.70 × 206,542.20
  4. Step 4: Simplify right side
    221,413.80x = 68,596,940,043.54
  5. Step 5: Solve for x
    x = 68,596,940,043.54/221,413.80
  6. Step 6: Final answer
    x = 309,813.30

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1.5x scale

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.