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Finding the Fourth Proportional to 204,930.60, 282,803.67 and 114,286.68

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Solution

The fourth proportional to 204,930.60, 282,803.67 and 114,286.68 is: 157,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930.60 : 282,803.67 = 114,286.68 : x
  2. Step 2: Convert to fraction form
    204,930.60/282,803.67 = 114,286.68/x
  3. Step 3: Cross multiply
    204,930.60x = 282,803.67 × 114,286.68
  4. Step 4: Simplify right side
    204,930.60x = 32,320,692,536.12
  5. Step 5: Solve for x
    x = 32,320,692,536.12/204,930.60
  6. Step 6: Final answer
    x = 157,715.31

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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.