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Finding the Fourth Proportional to 197,036.57, 271,805.39 and 120,592.71

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Solution

The fourth proportional to 197,036.57, 271,805.39 and 120,592.71 is: 166,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,036.57 : 271,805.39 = 120,592.71 : x
  2. Step 2: Convert to fraction form
    197,036.57/271,805.39 = 120,592.71/x
  3. Step 3: Cross multiply
    197,036.57x = 271,805.39 × 120,592.71
  4. Step 4: Simplify right side
    197,036.57x = 32,777,747,969.74
  5. Step 5: Solve for x
    x = 32,777,747,969.74/197,036.57
  6. Step 6: Final answer
    x = 166,353.63

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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.