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Finding the Fourth Proportional to 204,097.60, 306,102.66 and 63,838

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Solution

The fourth proportional to 204,097.60, 306,102.66 and 63,838 is: 95,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,097.60 : 306,102.66 = 63,838 : x
  2. Step 2: Convert to fraction form
    204,097.60/306,102.66 = 63,838/x
  3. Step 3: Cross multiply
    204,097.60x = 306,102.66 × 63,838
  4. Step 4: Simplify right side
    204,097.60x = 19,540,981,609.08
  5. Step 5: Solve for x
    x = 19,540,981,609.08/204,097.60
  6. Step 6: Final answer
    x = 95,743.32

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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.