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Finding the Fourth Proportional to 276,702.82, 381,905.49 and 181,174.66

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Solution

The fourth proportional to 276,702.82, 381,905.49 and 181,174.66 is: 250,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,702.82 : 381,905.49 = 181,174.66 : x
  2. Step 2: Convert to fraction form
    276,702.82/381,905.49 = 181,174.66/x
  3. Step 3: Cross multiply
    276,702.82x = 381,905.49 × 181,174.66
  4. Step 4: Simplify right side
    276,702.82x = 69,191,597,302.88
  5. Step 5: Solve for x
    x = 69,191,597,302.88/276,702.82
  6. Step 6: Final answer
    x = 250,057.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.