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Finding the Fourth Proportional to 98,219.43, 135,543.76 and 55,778.27

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Solution

The fourth proportional to 98,219.43, 135,543.76 and 55,778.27 is: 76,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,219.43 : 135,543.76 = 55,778.27 : x
  2. Step 2: Convert to fraction form
    98,219.43/135,543.76 = 55,778.27/x
  3. Step 3: Cross multiply
    98,219.43x = 135,543.76 × 55,778.27
  4. Step 4: Simplify right side
    98,219.43x = 7,560,395,764.38
  5. Step 5: Solve for x
    x = 7,560,395,764.38/98,219.43
  6. Step 6: Final answer
    x = 76,974.54

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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.