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Finding the Fourth Proportional to 259,541.80, 389,183.10 and 119,141.80

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Solution

The fourth proportional to 259,541.80, 389,183.10 and 119,141.80 is: 178,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,541.80 : 389,183.10 = 119,141.80 : x
  2. Step 2: Convert to fraction form
    259,541.80/389,183.10 = 119,141.80/x
  3. Step 3: Cross multiply
    259,541.80x = 389,183.10 × 119,141.80
  4. Step 4: Simplify right side
    259,541.80x = 46,367,975,063.58
  5. Step 5: Solve for x
    x = 46,367,975,063.58/259,541.80
  6. Step 6: Final answer
    x = 178,653.21

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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.