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Finding the Fourth Proportional to 283,265.82, 425,161.17 and 143,122.86

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Solution

The fourth proportional to 283,265.82, 425,161.17 and 143,122.86 is: 214,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,265.82 : 425,161.17 = 143,122.86 : x
  2. Step 2: Convert to fraction form
    283,265.82/425,161.17 = 143,122.86/x
  3. Step 3: Cross multiply
    283,265.82x = 425,161.17 × 143,122.86
  4. Step 4: Simplify right side
    283,265.82x = 60,850,282,611.35
  5. Step 5: Solve for x
    x = 60,850,282,611.35/283,265.82
  6. Step 6: Final answer
    x = 214,816.89

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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.