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Finding the Fourth Proportional to 283,786.24, 425,723.10 and 96,754

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Solution

The fourth proportional to 283,786.24, 425,723.10 and 96,754 is: 145,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,786.24 : 425,723.10 = 96,754 : x
  2. Step 2: Convert to fraction form
    283,786.24/425,723.10 = 96,754/x
  3. Step 3: Cross multiply
    283,786.24x = 425,723.10 × 96,754
  4. Step 4: Simplify right side
    283,786.24x = 41,190,412,817.40
  5. Step 5: Solve for x
    x = 41,190,412,817.40/283,786.24
  6. Step 6: Final answer
    x = 145,145.91

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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.