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Finding the Fourth Proportional to 205,657.20, 308,485.80 and 179,413.20

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Solution

The fourth proportional to 205,657.20, 308,485.80 and 179,413.20 is: 269,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,657.20 : 308,485.80 = 179,413.20 : x
  2. Step 2: Convert to fraction form
    205,657.20/308,485.80 = 179,413.20/x
  3. Step 3: Cross multiply
    205,657.20x = 308,485.80 × 179,413.20
  4. Step 4: Simplify right side
    205,657.20x = 55,346,424,532.56
  5. Step 5: Solve for x
    x = 55,346,424,532.56/205,657.20
  6. Step 6: Final answer
    x = 269,119.80

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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.