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Finding the Fourth Proportional to 337,456.56, 505,993.14 and 137,542.80

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Solution

The fourth proportional to 337,456.56, 505,993.14 and 137,542.80 is: 206,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,456.56 : 505,993.14 = 137,542.80 : x
  2. Step 2: Convert to fraction form
    337,456.56/505,993.14 = 137,542.80/x
  3. Step 3: Cross multiply
    337,456.56x = 505,993.14 × 137,542.80
  4. Step 4: Simplify right side
    337,456.56x = 69,595,713,256.39
  5. Step 5: Solve for x
    x = 69,595,713,256.39/337,456.56
  6. Step 6: Final answer
    x = 206,236.07

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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.