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Finding the Fourth Proportional to 131,413.44, 197,121.60 and 37,920

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Solution

The fourth proportional to 131,413.44, 197,121.60 and 37,920 is: 56,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,413.44 : 197,121.60 = 37,920 : x
  2. Step 2: Convert to fraction form
    131,413.44/197,121.60 = 37,920/x
  3. Step 3: Cross multiply
    131,413.44x = 197,121.60 × 37,920
  4. Step 4: Simplify right side
    131,413.44x = 7,474,851,072
  5. Step 5: Solve for x
    x = 7,474,851,072/131,413.44
  6. Step 6: Final answer
    x = 56,880.42

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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.