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Finding the Fourth Proportional to 98,175.97, 135,468.07 and 55,147.22

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Solution

The fourth proportional to 98,175.97, 135,468.07 and 55,147.22 is: 76,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,175.97 : 135,468.07 = 55,147.22 : x
  2. Step 2: Convert to fraction form
    98,175.97/135,468.07 = 55,147.22/x
  3. Step 3: Cross multiply
    98,175.97x = 135,468.07 × 55,147.22
  4. Step 4: Simplify right side
    98,175.97x = 7,470,687,459.27
  5. Step 5: Solve for x
    x = 7,470,687,459.27/98,175.97
  6. Step 6: Final answer
    x = 76,094.87

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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.