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Finding the Fourth Proportional to 204,388.26, 306,631.62 and 64,146.84

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Solution

The fourth proportional to 204,388.26, 306,631.62 and 64,146.84 is: 96,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,388.26 : 306,631.62 = 64,146.84 : x
  2. Step 2: Convert to fraction form
    204,388.26/306,631.62 = 64,146.84/x
  3. Step 3: Cross multiply
    204,388.26x = 306,631.62 × 64,146.84
  4. Step 4: Simplify right side
    204,388.26x = 19,669,449,467.08
  5. Step 5: Solve for x
    x = 19,669,449,467.08/204,388.26
  6. Step 6: Final answer
    x = 96,235.71

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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.