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Finding the Fourth Proportional to 283,754.43, 425,757.02 and 148,786.26

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Solution

The fourth proportional to 283,754.43, 425,757.02 and 148,786.26 is: 223,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,754.43 : 425,757.02 = 148,786.26 : x
  2. Step 2: Convert to fraction form
    283,754.43/425,757.02 = 148,786.26/x
  3. Step 3: Cross multiply
    283,754.43x = 425,757.02 × 148,786.26
  4. Step 4: Simplify right side
    283,754.43x = 63,346,794,674.55
  5. Step 5: Solve for x
    x = 63,346,794,674.55/283,754.43
  6. Step 6: Final answer
    x = 223,245.13

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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.