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Finding the Fourth Proportional to 204,999.30, 282,785.31 and 120,099.96

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Solution

The fourth proportional to 204,999.30, 282,785.31 and 120,099.96 is: 165,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,999.30 : 282,785.31 = 120,099.96 : x
  2. Step 2: Convert to fraction form
    204,999.30/282,785.31 = 120,099.96/x
  3. Step 3: Cross multiply
    204,999.30x = 282,785.31 × 120,099.96
  4. Step 4: Simplify right side
    204,999.30x = 33,962,504,419.59
  5. Step 5: Solve for x
    x = 33,962,504,419.59/204,999.30
  6. Step 6: Final answer
    x = 165,671.32

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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.