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Finding the Fourth Proportional to 276,052.89, 413,912.13 and 180,061.82

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Solution

The fourth proportional to 276,052.89, 413,912.13 and 180,061.82 is: 269,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,052.89 : 413,912.13 = 180,061.82 : x
  2. Step 2: Convert to fraction form
    276,052.89/413,912.13 = 180,061.82/x
  3. Step 3: Cross multiply
    276,052.89x = 413,912.13 × 180,061.82
  4. Step 4: Simplify right side
    276,052.89x = 74,529,770,255.25
  5. Step 5: Solve for x
    x = 74,529,770,255.25/276,052.89
  6. Step 6: Final answer
    x = 269,983.66

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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.