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Finding the Fourth Proportional to 143,413.80, 197,960.13 and 86,825.13

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Solution

The fourth proportional to 143,413.80, 197,960.13 and 86,825.13 is: 119,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,413.80 : 197,960.13 = 86,825.13 : x
  2. Step 2: Convert to fraction form
    143,413.80/197,960.13 = 86,825.13/x
  3. Step 3: Cross multiply
    143,413.80x = 197,960.13 × 86,825.13
  4. Step 4: Simplify right side
    143,413.80x = 17,187,914,022.07
  5. Step 5: Solve for x
    x = 17,187,914,022.07/143,413.80
  6. Step 6: Final answer
    x = 119,848.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.