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Finding the Fourth Proportional to 265,204.88, 397,809.06 and 75,664.82

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Solution

The fourth proportional to 265,204.88, 397,809.06 and 75,664.82 is: 113,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,204.88 : 397,809.06 = 75,664.82 : x
  2. Step 2: Convert to fraction form
    265,204.88/397,809.06 = 75,664.82/x
  3. Step 3: Cross multiply
    265,204.88x = 397,809.06 × 75,664.82
  4. Step 4: Simplify right side
    265,204.88x = 30,100,150,919.27
  5. Step 5: Solve for x
    x = 30,100,150,919.27/265,204.88
  6. Step 6: Final answer
    x = 113,497.73

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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.