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Finding the Fourth Proportional to 204,796.40, 282,620.30 and 114,158.12

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Solution

The fourth proportional to 204,796.40, 282,620.30 and 114,158.12 is: 157,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,796.40 : 282,620.30 = 114,158.12 : x
  2. Step 2: Convert to fraction form
    204,796.40/282,620.30 = 114,158.12/x
  3. Step 3: Cross multiply
    204,796.40x = 282,620.30 × 114,158.12
  4. Step 4: Simplify right side
    204,796.40x = 32,263,400,137.94
  5. Step 5: Solve for x
    x = 32,263,400,137.94/204,796.40
  6. Step 6: Final answer
    x = 157,538.91

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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.