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Finding the Fourth Proportional to 171,072.20, 256,608.30 and 46,413.20

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Solution

The fourth proportional to 171,072.20, 256,608.30 and 46,413.20 is: 69,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,072.20 : 256,608.30 = 46,413.20 : x
  2. Step 2: Convert to fraction form
    171,072.20/256,608.30 = 46,413.20/x
  3. Step 3: Cross multiply
    171,072.20x = 256,608.30 × 46,413.20
  4. Step 4: Simplify right side
    171,072.20x = 11,910,012,349.56
  5. Step 5: Solve for x
    x = 11,910,012,349.56/171,072.20
  6. Step 6: Final answer
    x = 69,619.80

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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.