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Finding the Fourth Proportional to 204,850.96, 282,693.48 and 114,205.84

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Solution

The fourth proportional to 204,850.96, 282,693.48 and 114,205.84 is: 157,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,850.96 : 282,693.48 = 114,205.84 : x
  2. Step 2: Convert to fraction form
    204,850.96/282,693.48 = 114,205.84/x
  3. Step 3: Cross multiply
    204,850.96x = 282,693.48 × 114,205.84
  4. Step 4: Simplify right side
    204,850.96x = 32,285,246,345.92
  5. Step 5: Solve for x
    x = 32,285,246,345.92/204,850.96
  6. Step 6: Final answer
    x = 157,603.59

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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.