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Finding the Fourth Proportional to 137,413.78, 205,770.73 and 90,524.50

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Solution

The fourth proportional to 137,413.78, 205,770.73 and 90,524.50 is: 135,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.78 : 205,770.73 = 90,524.50 : x
  2. Step 2: Convert to fraction form
    137,413.78/205,770.73 = 90,524.50/x
  3. Step 3: Cross multiply
    137,413.78x = 205,770.73 × 90,524.50
  4. Step 4: Simplify right side
    137,413.78x = 18,627,292,447.89
  5. Step 5: Solve for x
    x = 18,627,292,447.89/137,413.78
  6. Step 6: Final answer
    x = 135,556.22

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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.