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Finding the Fourth Proportional to 283,814.62, 425,723.58 and 84,136.73

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Solution

The fourth proportional to 283,814.62, 425,723.58 and 84,136.73 is: 126,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,814.62 : 425,723.58 = 84,136.73 : x
  2. Step 2: Convert to fraction form
    283,814.62/425,723.58 = 84,136.73/x
  3. Step 3: Cross multiply
    283,814.62x = 425,723.58 × 84,136.73
  4. Step 4: Simplify right side
    283,814.62x = 35,818,987,776.48
  5. Step 5: Solve for x
    x = 35,818,987,776.48/283,814.62
  6. Step 6: Final answer
    x = 126,205.58

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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.