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Finding the Fourth Proportional to 96,226.26, 144,361.26 and 43,650.78

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Solution

The fourth proportional to 96,226.26, 144,361.26 and 43,650.78 is: 65,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,226.26 : 144,361.26 = 43,650.78 : x
  2. Step 2: Convert to fraction form
    96,226.26/144,361.26 = 43,650.78/x
  3. Step 3: Cross multiply
    96,226.26x = 144,361.26 × 43,650.78
  4. Step 4: Simplify right side
    96,226.26x = 6,301,481,600.78
  5. Step 5: Solve for x
    x = 6,301,481,600.78/96,226.26
  6. Step 6: Final answer
    x = 65,486.09

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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.