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Finding the Fourth Proportional to 197,892.57, 273,105.41 and 120,398.45

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Solution

The fourth proportional to 197,892.57, 273,105.41 and 120,398.45 is: 166,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,892.57 : 273,105.41 = 120,398.45 : x
  2. Step 2: Convert to fraction form
    197,892.57/273,105.41 = 120,398.45/x
  3. Step 3: Cross multiply
    197,892.57x = 273,105.41 × 120,398.45
  4. Step 4: Simplify right side
    197,892.57x = 32,881,467,448.62
  5. Step 5: Solve for x
    x = 32,881,467,448.62/197,892.57
  6. Step 6: Final answer
    x = 166,158.18

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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.