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Finding the Fourth Proportional to 204,507.28, 306,764.11 and 64,265.91

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Solution

The fourth proportional to 204,507.28, 306,764.11 and 64,265.91 is: 96,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,507.28 : 306,764.11 = 64,265.91 : x
  2. Step 2: Convert to fraction form
    204,507.28/306,764.11 = 64,265.91/x
  3. Step 3: Cross multiply
    204,507.28x = 306,764.11 × 64,265.91
  4. Step 4: Simplify right side
    204,507.28x = 19,714,473,614.46
  5. Step 5: Solve for x
    x = 19,714,473,614.46/204,507.28
  6. Step 6: Final answer
    x = 96,399.86

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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.