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Finding the Fourth Proportional to 197,400.25, 296,100.42 and 55,266.46

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Solution

The fourth proportional to 197,400.25, 296,100.42 and 55,266.46 is: 82,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,400.25 : 296,100.42 = 55,266.46 : x
  2. Step 2: Convert to fraction form
    197,400.25/296,100.42 = 55,266.46/x
  3. Step 3: Cross multiply
    197,400.25x = 296,100.42 × 55,266.46
  4. Step 4: Simplify right side
    197,400.25x = 16,364,422,620.00
  5. Step 5: Solve for x
    x = 16,364,422,620.00/197,400.25
  6. Step 6: Final answer
    x = 82,899.71

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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.