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Finding the Fourth Proportional to 283,757.22, 425,698.09 and 84,093.24

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Solution

The fourth proportional to 283,757.22, 425,698.09 and 84,093.24 is: 126,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,757.22 : 425,698.09 = 84,093.24 : x
  2. Step 2: Convert to fraction form
    283,757.22/425,698.09 = 84,093.24/x
  3. Step 3: Cross multiply
    283,757.22x = 425,698.09 × 84,093.24
  4. Step 4: Simplify right side
    283,757.22x = 35,798,331,649.91
  5. Step 5: Solve for x
    x = 35,798,331,649.91/283,757.22
  6. Step 6: Final answer
    x = 126,158.31

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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.