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Finding the Fourth Proportional to 283,777.83, 425,733.57 and 84,099.87

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Solution

The fourth proportional to 283,777.83, 425,733.57 and 84,099.87 is: 126,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,777.83 : 425,733.57 = 84,099.87 : x
  2. Step 2: Convert to fraction form
    283,777.83/425,733.57 = 84,099.87/x
  3. Step 3: Cross multiply
    283,777.83x = 425,733.57 × 84,099.87
  4. Step 4: Simplify right side
    283,777.83x = 35,804,137,891.64
  5. Step 5: Solve for x
    x = 35,804,137,891.64/283,777.83
  6. Step 6: Final answer
    x = 126,169.61

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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.