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Finding the Fourth Proportional to 204,663.11, 282,427.97 and 114,014.39

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Solution

The fourth proportional to 204,663.11, 282,427.97 and 114,014.39 is: 157,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,663.11 : 282,427.97 = 114,014.39 : x
  2. Step 2: Convert to fraction form
    204,663.11/282,427.97 = 114,014.39/x
  3. Step 3: Cross multiply
    204,663.11x = 282,427.97 × 114,014.39
  4. Step 4: Simplify right side
    204,663.11x = 32,200,850,736.28
  5. Step 5: Solve for x
    x = 32,200,850,736.28/204,663.11
  6. Step 6: Final answer
    x = 157,335.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.