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Finding the Fourth Proportional to 170,413.72, 255,611.22 and 52,084.98

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Solution

The fourth proportional to 170,413.72, 255,611.22 and 52,084.98 is: 78,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,413.72 : 255,611.22 = 52,084.98 : x
  2. Step 2: Convert to fraction form
    170,413.72/255,611.22 = 52,084.98/x
  3. Step 3: Cross multiply
    170,413.72x = 255,611.22 × 52,084.98
  4. Step 4: Simplify right side
    170,413.72x = 13,313,505,281.48
  5. Step 5: Solve for x
    x = 13,313,505,281.48/170,413.72
  6. Step 6: Final answer
    x = 78,124.61

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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.