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Finding the Fourth Proportional to 201,121.76, 277,539.06 and 120,593.72

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Solution

The fourth proportional to 201,121.76, 277,539.06 and 120,593.72 is: 166,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,121.76 : 277,539.06 = 120,593.72 : x
  2. Step 2: Convert to fraction form
    201,121.76/277,539.06 = 120,593.72/x
  3. Step 3: Cross multiply
    201,121.76x = 277,539.06 × 120,593.72
  4. Step 4: Simplify right side
    201,121.76x = 33,469,467,690.70
  5. Step 5: Solve for x
    x = 33,469,467,690.70/201,121.76
  6. Step 6: Final answer
    x = 166,413.96

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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.