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Finding the Fourth Proportional to 84,802.14, 126,961.29 and 67,297.50

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Solution

The fourth proportional to 84,802.14, 126,961.29 and 67,297.50 is: 100,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,802.14 : 126,961.29 = 67,297.50 : x
  2. Step 2: Convert to fraction form
    84,802.14/126,961.29 = 67,297.50/x
  3. Step 3: Cross multiply
    84,802.14x = 126,961.29 × 67,297.50
  4. Step 4: Simplify right side
    84,802.14x = 8,544,177,413.78
  5. Step 5: Solve for x
    x = 8,544,177,413.78/84,802.14
  6. Step 6: Final answer
    x = 100,754.27

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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.