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Finding the Fourth Proportional to 204,641.03, 282,413.13 and 113,996.97

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Solution

The fourth proportional to 204,641.03, 282,413.13 and 113,996.97 is: 157,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,641.03 : 282,413.13 = 113,996.97 : x
  2. Step 2: Convert to fraction form
    204,641.03/282,413.13 = 113,996.97/x
  3. Step 3: Cross multiply
    204,641.03x = 282,413.13 × 113,996.97
  4. Step 4: Simplify right side
    204,641.03x = 32,194,241,108.22
  5. Step 5: Solve for x
    x = 32,194,241,108.22/204,641.03
  6. Step 6: Final answer
    x = 157,320.56

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1.5x scale

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.