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Finding the Fourth Proportional to 273,021.71, 409,533.47 and 83,481.37

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Solution

The fourth proportional to 273,021.71, 409,533.47 and 83,481.37 is: 125,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,021.71 : 409,533.47 = 83,481.37 : x
  2. Step 2: Convert to fraction form
    273,021.71/409,533.47 = 83,481.37/x
  3. Step 3: Cross multiply
    273,021.71x = 409,533.47 × 83,481.37
  4. Step 4: Simplify right side
    273,021.71x = 34,188,414,008.27
  5. Step 5: Solve for x
    x = 34,188,414,008.27/273,021.71
  6. Step 6: Final answer
    x = 125,222.33

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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.