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Finding the Fourth Proportional to 273,789.61, 409,685.28 and 161,523.61

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Solution

The fourth proportional to 273,789.61, 409,685.28 and 161,523.61 is: 241,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,789.61 : 409,685.28 = 161,523.61 : x
  2. Step 2: Convert to fraction form
    273,789.61/409,685.28 = 161,523.61/x
  3. Step 3: Cross multiply
    273,789.61x = 409,685.28 × 161,523.61
  4. Step 4: Simplify right side
    273,789.61x = 66,173,843,759.53
  5. Step 5: Solve for x
    x = 66,173,843,759.53/273,789.61
  6. Step 6: Final answer
    x = 241,695.97

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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.