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Finding the Fourth Proportional to 170,413.91, 235,171.67 and 102,469.80

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Solution

The fourth proportional to 170,413.91, 235,171.67 and 102,469.80 is: 141,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,413.91 : 235,171.67 = 102,469.80 : x
  2. Step 2: Convert to fraction form
    170,413.91/235,171.67 = 102,469.80/x
  3. Step 3: Cross multiply
    170,413.91x = 235,171.67 × 102,469.80
  4. Step 4: Simplify right side
    170,413.91x = 24,097,993,990.57
  5. Step 5: Solve for x
    x = 24,097,993,990.57/170,413.91
  6. Step 6: Final answer
    x = 141,408.61

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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.