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Finding the Fourth Proportional to 206,374.81, 284,692.38 and 134,796.73

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Solution

The fourth proportional to 206,374.81, 284,692.38 and 134,796.73 is: 185,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,374.81 : 284,692.38 = 134,796.73 : x
  2. Step 2: Convert to fraction form
    206,374.81/284,692.38 = 134,796.73/x
  3. Step 3: Cross multiply
    206,374.81x = 284,692.38 × 134,796.73
  4. Step 4: Simplify right side
    206,374.81x = 38,375,601,879.92
  5. Step 5: Solve for x
    x = 38,375,601,879.92/206,374.81
  6. Step 6: Final answer
    x = 185,951.00

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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.