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Finding the Fourth Proportional to 164,413.80, 246,620.70 and 75,840.30

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Solution

The fourth proportional to 164,413.80, 246,620.70 and 75,840.30 is: 113,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,413.80 : 246,620.70 = 75,840.30 : x
  2. Step 2: Convert to fraction form
    164,413.80/246,620.70 = 75,840.30/x
  3. Step 3: Cross multiply
    164,413.80x = 246,620.70 × 75,840.30
  4. Step 4: Simplify right side
    164,413.80x = 18,703,787,874.21
  5. Step 5: Solve for x
    x = 18,703,787,874.21/164,413.80
  6. Step 6: Final answer
    x = 113,760.45

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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.