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Finding the Fourth Proportional to 201,188.54, 277,664.33 and 120,660.36

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Solution

The fourth proportional to 201,188.54, 277,664.33 and 120,660.36 is: 166,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,188.54 : 277,664.33 = 120,660.36 : x
  2. Step 2: Convert to fraction form
    201,188.54/277,664.33 = 120,660.36/x
  3. Step 3: Cross multiply
    201,188.54x = 277,664.33 × 120,660.36
  4. Step 4: Simplify right side
    201,188.54x = 33,503,077,413.66
  5. Step 5: Solve for x
    x = 33,503,077,413.66/201,188.54
  6. Step 6: Final answer
    x = 166,525.78

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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.