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Finding the Fourth Proportional to 283,896.35, 425,933.33 and 84,217.78

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Solution

The fourth proportional to 283,896.35, 425,933.33 and 84,217.78 is: 126,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,896.35 : 425,933.33 = 84,217.78 : x
  2. Step 2: Convert to fraction form
    283,896.35/425,933.33 = 84,217.78/x
  3. Step 3: Cross multiply
    283,896.35x = 425,933.33 × 84,217.78
  4. Step 4: Simplify right side
    283,896.35x = 35,871,157,994.69
  5. Step 5: Solve for x
    x = 35,871,157,994.69/283,896.35
  6. Step 6: Final answer
    x = 126,353.01

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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.