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Finding the Fourth Proportional to 180,286.50, 269,876.16 and 113,413.52

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Solution

The fourth proportional to 180,286.50, 269,876.16 and 113,413.52 is: 169,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,286.50 : 269,876.16 = 113,413.52 : x
  2. Step 2: Convert to fraction form
    180,286.50/269,876.16 = 113,413.52/x
  3. Step 3: Cross multiply
    180,286.50x = 269,876.16 × 113,413.52
  4. Step 4: Simplify right side
    180,286.50x = 30,607,605,269.68
  5. Step 5: Solve for x
    x = 30,607,605,269.68/180,286.50
  6. Step 6: Final answer
    x = 169,772.03

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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.