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Finding the Fourth Proportional to 204,642.56, 306,949.58 and 76,534.44

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Solution

The fourth proportional to 204,642.56, 306,949.58 and 76,534.44 is: 114,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,642.56 : 306,949.58 = 76,534.44 : x
  2. Step 2: Convert to fraction form
    204,642.56/306,949.58 = 76,534.44/x
  3. Step 3: Cross multiply
    204,642.56x = 306,949.58 × 76,534.44
  4. Step 4: Simplify right side
    204,642.56x = 23,492,214,213.54
  5. Step 5: Solve for x
    x = 23,492,214,213.54/204,642.56
  6. Step 6: Final answer
    x = 114,796.33

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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.