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Finding the Fourth Proportional to 241,954.44, 362,892.78 and 75,742.44

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Solution

The fourth proportional to 241,954.44, 362,892.78 and 75,742.44 is: 113,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,954.44 : 362,892.78 = 75,742.44 : x
  2. Step 2: Convert to fraction form
    241,954.44/362,892.78 = 75,742.44/x
  3. Step 3: Cross multiply
    241,954.44x = 362,892.78 × 75,742.44
  4. Step 4: Simplify right side
    241,954.44x = 27,486,384,615.58
  5. Step 5: Solve for x
    x = 27,486,384,615.58/241,954.44
  6. Step 6: Final answer
    x = 113,601.49

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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.