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Finding the Fourth Proportional to 263,183.83, 394,734.53 and 85,689.65

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Solution

The fourth proportional to 263,183.83, 394,734.53 and 85,689.65 is: 128,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,183.83 : 394,734.53 = 85,689.65 : x
  2. Step 2: Convert to fraction form
    263,183.83/394,734.53 = 85,689.65/x
  3. Step 3: Cross multiply
    263,183.83x = 394,734.53 × 85,689.65
  4. Step 4: Simplify right side
    263,183.83x = 33,824,662,699.29
  5. Step 5: Solve for x
    x = 33,824,662,699.29/263,183.83
  6. Step 6: Final answer
    x = 128,521.05

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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.