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Finding the Fourth Proportional to 222,413.02, 306,930.11 and 120,439.28

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Solution

The fourth proportional to 222,413.02, 306,930.11 and 120,439.28 is: 166,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,413.02 : 306,930.11 = 120,439.28 : x
  2. Step 2: Convert to fraction form
    222,413.02/306,930.11 = 120,439.28/x
  3. Step 3: Cross multiply
    222,413.02x = 306,930.11 × 120,439.28
  4. Step 4: Simplify right side
    222,413.02x = 36,966,441,623.85
  5. Step 5: Solve for x
    x = 36,966,441,623.85/222,413.02
  6. Step 6: Final answer
    x = 166,206.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.