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Finding the Fourth Proportional to 283,874.27, 425,794.70 and 106,366.42

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Solution

The fourth proportional to 283,874.27, 425,794.70 and 106,366.42 is: 159,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,874.27 : 425,794.70 = 106,366.42 : x
  2. Step 2: Convert to fraction form
    283,874.27/425,794.70 = 106,366.42/x
  3. Step 3: Cross multiply
    283,874.27x = 425,794.70 × 106,366.42
  4. Step 4: Simplify right side
    283,874.27x = 45,290,255,765.00
  5. Step 5: Solve for x
    x = 45,290,255,765.00/283,874.27
  6. Step 6: Final answer
    x = 159,543.36

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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.