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Finding the Fourth Proportional to 98,218.43, 135,542.38 and 55,777.26

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Solution

The fourth proportional to 98,218.43, 135,542.38 and 55,777.26 is: 76,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,218.43 : 135,542.38 = 55,777.26 : x
  2. Step 2: Convert to fraction form
    98,218.43/135,542.38 = 55,777.26/x
  3. Step 3: Cross multiply
    98,218.43x = 135,542.38 × 55,777.26
  4. Step 4: Simplify right side
    98,218.43x = 7,560,183,043.70
  5. Step 5: Solve for x
    x = 7,560,183,043.70/98,218.43
  6. Step 6: Final answer
    x = 76,973.16

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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.