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Finding the Fourth Proportional to 204,413.38, 282,098.56 and 113,773.16

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Solution

The fourth proportional to 204,413.38, 282,098.56 and 113,773.16 is: 157,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,413.38 : 282,098.56 = 113,773.16 : x
  2. Step 2: Convert to fraction form
    204,413.38/282,098.56 = 113,773.16/x
  3. Step 3: Cross multiply
    204,413.38x = 282,098.56 × 113,773.16
  4. Step 4: Simplify right side
    204,413.38x = 32,095,244,602.65
  5. Step 5: Solve for x
    x = 32,095,244,602.65/204,413.38
  6. Step 6: Final answer
    x = 157,011.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.