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Finding the Fourth Proportional to 164,344.97, 246,414.94 and 75,484.44

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Solution

The fourth proportional to 164,344.97, 246,414.94 and 75,484.44 is: 113,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,344.97 : 246,414.94 = 75,484.44 : x
  2. Step 2: Convert to fraction form
    164,344.97/246,414.94 = 75,484.44/x
  3. Step 3: Cross multiply
    164,344.97x = 246,414.94 × 75,484.44
  4. Step 4: Simplify right side
    164,344.97x = 18,600,493,564.82
  5. Step 5: Solve for x
    x = 18,600,493,564.82/164,344.97
  6. Step 6: Final answer
    x = 113,179.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.