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Finding the Fourth Proportional to 211,198.22, 291,409.87 and 120,583.68

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Solution

The fourth proportional to 211,198.22, 291,409.87 and 120,583.68 is: 166,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,198.22 : 291,409.87 = 120,583.68 : x
  2. Step 2: Convert to fraction form
    211,198.22/291,409.87 = 120,583.68/x
  3. Step 3: Cross multiply
    211,198.22x = 291,409.87 × 120,583.68
  4. Step 4: Simplify right side
    211,198.22x = 35,139,274,512.92
  5. Step 5: Solve for x
    x = 35,139,274,512.92/211,198.22
  6. Step 6: Final answer
    x = 166,380.54

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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.