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Finding the Fourth Proportional to 197,033.46, 271,906.47 and 112,150.50

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Solution

The fourth proportional to 197,033.46, 271,906.47 and 112,150.50 is: 154,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,033.46 : 271,906.47 = 112,150.50 : x
  2. Step 2: Convert to fraction form
    197,033.46/271,906.47 = 112,150.50/x
  3. Step 3: Cross multiply
    197,033.46x = 271,906.47 × 112,150.50
  4. Step 4: Simplify right side
    197,033.46x = 30,494,446,563.74
  5. Step 5: Solve for x
    x = 30,494,446,563.74/197,033.46
  6. Step 6: Final answer
    x = 154,767.86

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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.