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Finding the Fourth Proportional to 283,760.24, 425,640.36 and 96,773.36

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Solution

The fourth proportional to 283,760.24, 425,640.36 and 96,773.36 is: 145,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,760.24 : 425,640.36 = 96,773.36 : x
  2. Step 2: Convert to fraction form
    283,760.24/425,640.36 = 96,773.36/x
  3. Step 3: Cross multiply
    283,760.24x = 425,640.36 × 96,773.36
  4. Step 4: Simplify right side
    283,760.24x = 41,190,647,788.81
  5. Step 5: Solve for x
    x = 41,190,647,788.81/283,760.24
  6. Step 6: Final answer
    x = 145,160.04

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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.