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Finding the Fourth Proportional to 204,641.26, 282,413.45 and 113,997.22

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Solution

The fourth proportional to 204,641.26, 282,413.45 and 113,997.22 is: 157,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,641.26 : 282,413.45 = 113,997.22 : x
  2. Step 2: Convert to fraction form
    204,641.26/282,413.45 = 113,997.22/x
  3. Step 3: Cross multiply
    204,641.26x = 282,413.45 × 113,997.22
  4. Step 4: Simplify right side
    204,641.26x = 32,194,347,769.57
  5. Step 5: Solve for x
    x = 32,194,347,769.57/204,641.26
  6. Step 6: Final answer
    x = 157,320.90

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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.