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Finding the Fourth Proportional to 222,387.45, 306,894.86 and 120,413.04

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Solution

The fourth proportional to 222,387.45, 306,894.86 and 120,413.04 is: 166,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,387.45 : 306,894.86 = 120,413.04 : x
  2. Step 2: Convert to fraction form
    222,387.45/306,894.86 = 120,413.04/x
  3. Step 3: Cross multiply
    222,387.45x = 306,894.86 × 120,413.04
  4. Step 4: Simplify right side
    222,387.45x = 36,954,143,052.97
  5. Step 5: Solve for x
    x = 36,954,143,052.97/222,387.45
  6. Step 6: Final answer
    x = 166,170.09

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Why These Related Problems?

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