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Finding the Fourth Proportional to 218,413.60, 327,620.40 and 85,298.20

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Solution

The fourth proportional to 218,413.60, 327,620.40 and 85,298.20 is: 127,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,413.60 : 327,620.40 = 85,298.20 : x
  2. Step 2: Convert to fraction form
    218,413.60/327,620.40 = 85,298.20/x
  3. Step 3: Cross multiply
    218,413.60x = 327,620.40 × 85,298.20
  4. Step 4: Simplify right side
    218,413.60x = 27,945,430,403.28
  5. Step 5: Solve for x
    x = 27,945,430,403.28/218,413.60
  6. Step 6: Final answer
    x = 127,947.30

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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.