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Finding the Fourth Proportional to 259,413.20, 389,119.80 and 101,589.20

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Solution

The fourth proportional to 259,413.20, 389,119.80 and 101,589.20 is: 152,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,413.20 : 389,119.80 = 101,589.20 : x
  2. Step 2: Convert to fraction form
    259,413.20/389,119.80 = 101,589.20/x
  3. Step 3: Cross multiply
    259,413.20x = 389,119.80 × 101,589.20
  4. Step 4: Simplify right side
    259,413.20x = 39,530,369,186.16
  5. Step 5: Solve for x
    x = 39,530,369,186.16/259,413.20
  6. Step 6: Final answer
    x = 152,383.80

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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.