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Finding the Fourth Proportional to 254,413.80, 381,608.46 and 96,629.94

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Solution

The fourth proportional to 254,413.80, 381,608.46 and 96,629.94 is: 144,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,413.80 : 381,608.46 = 96,629.94 : x
  2. Step 2: Convert to fraction form
    254,413.80/381,608.46 = 96,629.94/x
  3. Step 3: Cross multiply
    254,413.80x = 381,608.46 × 96,629.94
  4. Step 4: Simplify right side
    254,413.80x = 36,874,802,593.29
  5. Step 5: Solve for x
    x = 36,874,802,593.29/254,413.80
  6. Step 6: Final answer
    x = 144,940.26

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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.