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Finding the Fourth Proportional to 180,942.40, 271,413.60 and 166,945.60

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Solution

The fourth proportional to 180,942.40, 271,413.60 and 166,945.60 is: 250,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,942.40 : 271,413.60 = 166,945.60 : x
  2. Step 2: Convert to fraction form
    180,942.40/271,413.60 = 166,945.60/x
  3. Step 3: Cross multiply
    180,942.40x = 271,413.60 × 166,945.60
  4. Step 4: Simplify right side
    180,942.40x = 45,311,306,300.16
  5. Step 5: Solve for x
    x = 45,311,306,300.16/180,942.40
  6. Step 6: Final answer
    x = 250,418.40

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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.