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Finding the Fourth Proportional to 283,814.20, 425,138.10 and 143,651.80

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Solution

The fourth proportional to 283,814.20, 425,138.10 and 143,651.80 is: 215,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,814.20 : 425,138.10 = 143,651.80 : x
  2. Step 2: Convert to fraction form
    283,814.20/425,138.10 = 143,651.80/x
  3. Step 3: Cross multiply
    283,814.20x = 425,138.10 × 143,651.80
  4. Step 4: Simplify right side
    283,814.20x = 61,071,853,313.58
  5. Step 5: Solve for x
    x = 61,071,853,313.58/283,814.20
  6. Step 6: Final answer
    x = 215,182.51

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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.