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Finding the Fourth Proportional to 197,348.22, 296,041 and 55,193.50

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Solution

The fourth proportional to 197,348.22, 296,041 and 55,193.50 is: 82,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,348.22 : 296,041 = 55,193.50 : x
  2. Step 2: Convert to fraction form
    197,348.22/296,041 = 55,193.50/x
  3. Step 3: Cross multiply
    197,348.22x = 296,041 × 55,193.50
  4. Step 4: Simplify right side
    197,348.22x = 16,339,538,933.50
  5. Step 5: Solve for x
    x = 16,339,538,933.50/197,348.22
  6. Step 6: Final answer
    x = 82,795.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.