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Finding the Fourth Proportional to 254,402.25, 381,629.51 and 67,413.75

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Solution

The fourth proportional to 254,402.25, 381,629.51 and 67,413.75 is: 101,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,402.25 : 381,629.51 = 67,413.75 : x
  2. Step 2: Convert to fraction form
    254,402.25/381,629.51 = 67,413.75/x
  3. Step 3: Cross multiply
    254,402.25x = 381,629.51 × 67,413.75
  4. Step 4: Simplify right side
    254,402.25x = 25,727,076,042.69
  5. Step 5: Solve for x
    x = 25,727,076,042.69/254,402.25
  6. Step 6: Final answer
    x = 101,127.55

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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.