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Finding the Fourth Proportional to 167,954.20, 231,759.62 and 103,413.20

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Solution

The fourth proportional to 167,954.20, 231,759.62 and 103,413.20 is: 142,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,954.20 : 231,759.62 = 103,413.20 : x
  2. Step 2: Convert to fraction form
    167,954.20/231,759.62 = 103,413.20/x
  3. Step 3: Cross multiply
    167,954.20x = 231,759.62 × 103,413.20
  4. Step 4: Simplify right side
    167,954.20x = 23,967,003,934.98
  5. Step 5: Solve for x
    x = 23,967,003,934.98/167,954.20
  6. Step 6: Final answer
    x = 142,699.64

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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.