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Finding the Fourth Proportional to 204,476.20, 306,058.20 and 159,861.40

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Solution

The fourth proportional to 204,476.20, 306,058.20 and 159,861.40 is: 239,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,476.20 : 306,058.20 = 159,861.40 : x
  2. Step 2: Convert to fraction form
    204,476.20/306,058.20 = 159,861.40/x
  3. Step 3: Cross multiply
    204,476.20x = 306,058.20 × 159,861.40
  4. Step 4: Simplify right side
    204,476.20x = 48,926,892,333.48
  5. Step 5: Solve for x
    x = 48,926,892,333.48/204,476.20
  6. Step 6: Final answer
    x = 239,279.15

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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.