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Finding the Fourth Proportional to 197,705.49, 272,900.12 and 120,180.87

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Solution

The fourth proportional to 197,705.49, 272,900.12 and 120,180.87 is: 165,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,705.49 : 272,900.12 = 120,180.87 : x
  2. Step 2: Convert to fraction form
    197,705.49/272,900.12 = 120,180.87/x
  3. Step 3: Cross multiply
    197,705.49x = 272,900.12 × 120,180.87
  4. Step 4: Simplify right side
    197,705.49x = 32,797,373,243.80
  5. Step 5: Solve for x
    x = 32,797,373,243.80/197,705.49
  6. Step 6: Final answer
    x = 165,890.05

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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.