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Finding the Fourth Proportional to 98,077.73, 135,343.17 and 55,644.26

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Solution

The fourth proportional to 98,077.73, 135,343.17 and 55,644.26 is: 76,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,077.73 : 135,343.17 = 55,644.26 : x
  2. Step 2: Convert to fraction form
    98,077.73/135,343.17 = 55,644.26/x
  3. Step 3: Cross multiply
    98,077.73x = 135,343.17 × 55,644.26
  4. Step 4: Simplify right side
    98,077.73x = 7,531,069,863.99
  5. Step 5: Solve for x
    x = 7,531,069,863.99/98,077.73
  6. Step 6: Final answer
    x = 76,786.75

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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.