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Finding the Fourth Proportional to 149,413.82, 206,213.03 and 98,418.38

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Solution

The fourth proportional to 149,413.82, 206,213.03 and 98,418.38 is: 135,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,413.82 : 206,213.03 = 98,418.38 : x
  2. Step 2: Convert to fraction form
    149,413.82/206,213.03 = 98,418.38/x
  3. Step 3: Cross multiply
    149,413.82x = 206,213.03 × 98,418.38
  4. Step 4: Simplify right side
    149,413.82x = 20,295,153,109.07
  5. Step 5: Solve for x
    x = 20,295,153,109.07/149,413.82
  6. Step 6: Final answer
    x = 135,831.83

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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.