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Finding the Fourth Proportional to 204,407.63, 306,588.09 and 54,659.60

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Solution

The fourth proportional to 204,407.63, 306,588.09 and 54,659.60 is: 81,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,407.63 : 306,588.09 = 54,659.60 : x
  2. Step 2: Convert to fraction form
    204,407.63/306,588.09 = 54,659.60/x
  3. Step 3: Cross multiply
    204,407.63x = 306,588.09 × 54,659.60
  4. Step 4: Simplify right side
    204,407.63x = 16,757,982,565.80
  5. Step 5: Solve for x
    x = 16,757,982,565.80/204,407.63
  6. Step 6: Final answer
    x = 81,983.15

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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.