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Finding the Fourth Proportional to 273,829.35, 410,712.87 and 74,165.31

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Solution

The fourth proportional to 273,829.35, 410,712.87 and 74,165.31 is: 111,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,829.35 : 410,712.87 = 74,165.31 : x
  2. Step 2: Convert to fraction form
    273,829.35/410,712.87 = 74,165.31/x
  3. Step 3: Cross multiply
    273,829.35x = 410,712.87 × 74,165.31
  4. Step 4: Simplify right side
    273,829.35x = 30,460,647,324.54
  5. Step 5: Solve for x
    x = 30,460,647,324.54/273,829.35
  6. Step 6: Final answer
    x = 111,239.53

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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.