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Finding the Fourth Proportional to 204,700.64, 307,008.61 and 54,905.29

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Solution

The fourth proportional to 204,700.64, 307,008.61 and 54,905.29 is: 82,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,700.64 : 307,008.61 = 54,905.29 : x
  2. Step 2: Convert to fraction form
    204,700.64/307,008.61 = 54,905.29/x
  3. Step 3: Cross multiply
    204,700.64x = 307,008.61 × 54,905.29
  4. Step 4: Simplify right side
    204,700.64x = 16,856,396,764.55
  5. Step 5: Solve for x
    x = 16,856,396,764.55/204,700.64
  6. Step 6: Final answer
    x = 82,346.58

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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.