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Finding the Fourth Proportional to 283,512.75, 425,121.46 and 133,712.81

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Solution

The fourth proportional to 283,512.75, 425,121.46 and 133,712.81 is: 200,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,512.75 : 425,121.46 = 133,712.81 : x
  2. Step 2: Convert to fraction form
    283,512.75/425,121.46 = 133,712.81/x
  3. Step 3: Cross multiply
    283,512.75x = 425,121.46 × 133,712.81
  4. Step 4: Simplify right side
    283,512.75x = 56,844,187,285.66
  5. Step 5: Solve for x
    x = 56,844,187,285.66/283,512.75
  6. Step 6: Final answer
    x = 200,499.58

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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.