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Finding the Fourth Proportional to 98,382.22, 135,766.83 and 55,940.75

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Solution

The fourth proportional to 98,382.22, 135,766.83 and 55,940.75 is: 77,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382.22 : 135,766.83 = 55,940.75 : x
  2. Step 2: Convert to fraction form
    98,382.22/135,766.83 = 55,940.75/x
  3. Step 3: Cross multiply
    98,382.22x = 135,766.83 × 55,940.75
  4. Step 4: Simplify right side
    98,382.22x = 7,594,898,295.32
  5. Step 5: Solve for x
    x = 7,594,898,295.32/98,382.22
  6. Step 6: Final answer
    x = 77,197.88

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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.