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Finding the Fourth Proportional to 283,704.93, 425,563.47 and 84,029.40

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Solution

The fourth proportional to 283,704.93, 425,563.47 and 84,029.40 is: 126,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,704.93 : 425,563.47 = 84,029.40 : x
  2. Step 2: Convert to fraction form
    283,704.93/425,563.47 = 84,029.40/x
  3. Step 3: Cross multiply
    283,704.93x = 425,563.47 × 84,029.40
  4. Step 4: Simplify right side
    283,704.93x = 35,759,843,046.02
  5. Step 5: Solve for x
    x = 35,759,843,046.02/283,704.93
  6. Step 6: Final answer
    x = 126,045.90

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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.