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Finding the Fourth Proportional to 206,413.60, 309,620.40 and 195,008.80

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Solution

The fourth proportional to 206,413.60, 309,620.40 and 195,008.80 is: 292,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413.60 : 309,620.40 = 195,008.80 : x
  2. Step 2: Convert to fraction form
    206,413.60/309,620.40 = 195,008.80/x
  3. Step 3: Cross multiply
    206,413.60x = 309,620.40 × 195,008.80
  4. Step 4: Simplify right side
    206,413.60x = 60,378,702,659.52
  5. Step 5: Solve for x
    x = 60,378,702,659.52/206,413.60
  6. Step 6: Final answer
    x = 292,513.20

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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.