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Finding the Fourth Proportional to 203,937.80, 305,906.70 and 174,413.30

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Solution

The fourth proportional to 203,937.80, 305,906.70 and 174,413.30 is: 261,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,937.80 : 305,906.70 = 174,413.30 : x
  2. Step 2: Convert to fraction form
    203,937.80/305,906.70 = 174,413.30/x
  3. Step 3: Cross multiply
    203,937.80x = 305,906.70 × 174,413.30
  4. Step 4: Simplify right side
    203,937.80x = 53,354,197,039.11
  5. Step 5: Solve for x
    x = 53,354,197,039.11/203,937.80
  6. Step 6: Final answer
    x = 261,619.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.