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Finding the Fourth Proportional to 276,811, 381,999.20 and 149,486.60

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Solution

The fourth proportional to 276,811, 381,999.20 and 149,486.60 is: 206,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,811 : 381,999.20 = 149,486.60 : x
  2. Step 2: Convert to fraction form
    276,811/381,999.20 = 149,486.60/x
  3. Step 3: Cross multiply
    276,811x = 381,999.20 × 149,486.60
  4. Step 4: Simplify right side
    276,811x = 57,103,761,610.72
  5. Step 5: Solve for x
    x = 57,103,761,610.72/276,811
  6. Step 6: Final answer
    x = 206,291.52

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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.