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Finding the Fourth Proportional to 275,903.73, 413,863.38 and 76,224.15

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Solution

The fourth proportional to 275,903.73, 413,863.38 and 76,224.15 is: 114,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,903.73 : 413,863.38 = 76,224.15 : x
  2. Step 2: Convert to fraction form
    275,903.73/413,863.38 = 76,224.15/x
  3. Step 3: Cross multiply
    275,903.73x = 413,863.38 × 76,224.15
  4. Step 4: Simplify right side
    275,903.73x = 31,546,384,356.63
  5. Step 5: Solve for x
    x = 31,546,384,356.63/275,903.73
  6. Step 6: Final answer
    x = 114,338.38

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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.