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Finding the Fourth Proportional to 283,654.86, 425,571.50 and 83,977

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Solution

The fourth proportional to 283,654.86, 425,571.50 and 83,977 is: 125,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,654.86 : 425,571.50 = 83,977 : x
  2. Step 2: Convert to fraction form
    283,654.86/425,571.50 = 83,977/x
  3. Step 3: Cross multiply
    283,654.86x = 425,571.50 × 83,977
  4. Step 4: Simplify right side
    283,654.86x = 35,738,217,855.50
  5. Step 5: Solve for x
    x = 35,738,217,855.50/283,654.86
  6. Step 6: Final answer
    x = 125,991.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.