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Finding the Fourth Proportional to 283,843.82, 425,765.76 and 115,455.74

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Solution

The fourth proportional to 283,843.82, 425,765.76 and 115,455.74 is: 173,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,843.82 : 425,765.76 = 115,455.74 : x
  2. Step 2: Convert to fraction form
    283,843.82/425,765.76 = 115,455.74/x
  3. Step 3: Cross multiply
    283,843.82x = 425,765.76 × 115,455.74
  4. Step 4: Simplify right side
    283,843.82x = 49,157,100,887.46
  5. Step 5: Solve for x
    x = 49,157,100,887.46/283,843.82
  6. Step 6: Final answer
    x = 173,183.62

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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.