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Finding the Fourth Proportional to 204,446.82, 306,719.64 and 64,205.45

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Solution

The fourth proportional to 204,446.82, 306,719.64 and 64,205.45 is: 96,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,446.82 : 306,719.64 = 64,205.45 : x
  2. Step 2: Convert to fraction form
    204,446.82/306,719.64 = 64,205.45/x
  3. Step 3: Cross multiply
    204,446.82x = 306,719.64 × 64,205.45
  4. Step 4: Simplify right side
    204,446.82x = 19,693,070,976.44
  5. Step 5: Solve for x
    x = 19,693,070,976.44/204,446.82
  6. Step 6: Final answer
    x = 96,323.68

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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.