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Finding the Fourth Proportional to 283,791.24, 425,730.60 and 96,759

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Solution

The fourth proportional to 283,791.24, 425,730.60 and 96,759 is: 145,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,791.24 : 425,730.60 = 96,759 : x
  2. Step 2: Convert to fraction form
    283,791.24/425,730.60 = 96,759/x
  3. Step 3: Cross multiply
    283,791.24x = 425,730.60 × 96,759
  4. Step 4: Simplify right side
    283,791.24x = 41,193,267,125.40
  5. Step 5: Solve for x
    x = 41,193,267,125.40/283,791.24
  6. Step 6: Final answer
    x = 145,153.41

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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.