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Finding the Fourth Proportional to 305,797.44, 458,660.51 and 81,175.33

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Solution

The fourth proportional to 305,797.44, 458,660.51 and 81,175.33 is: 121,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,797.44 : 458,660.51 = 81,175.33 : x
  2. Step 2: Convert to fraction form
    305,797.44/458,660.51 = 81,175.33/x
  3. Step 3: Cross multiply
    305,797.44x = 458,660.51 × 81,175.33
  4. Step 4: Simplify right side
    305,797.44x = 37,231,918,729.07
  5. Step 5: Solve for x
    x = 37,231,918,729.07/305,797.44
  6. Step 6: Final answer
    x = 121,753.53

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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.