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Finding the Fourth Proportional to 275,601.06, 413,363.92 and 75,892.72

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Solution

The fourth proportional to 275,601.06, 413,363.92 and 75,892.72 is: 113,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,601.06 : 413,363.92 = 75,892.72 : x
  2. Step 2: Convert to fraction form
    275,601.06/413,363.92 = 75,892.72/x
  3. Step 3: Cross multiply
    275,601.06x = 413,363.92 × 75,892.72
  4. Step 4: Simplify right side
    275,601.06x = 31,371,312,238.66
  5. Step 5: Solve for x
    x = 31,371,312,238.66/275,601.06
  6. Step 6: Final answer
    x = 113,828.71

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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.