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Finding the Fourth Proportional to 207,474.30, 311,211.45 and 181,230.30

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Solution

The fourth proportional to 207,474.30, 311,211.45 and 181,230.30 is: 271,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,474.30 : 311,211.45 = 181,230.30 : x
  2. Step 2: Convert to fraction form
    207,474.30/311,211.45 = 181,230.30/x
  3. Step 3: Cross multiply
    207,474.30x = 311,211.45 × 181,230.30
  4. Step 4: Simplify right side
    207,474.30x = 56,400,944,446.94
  5. Step 5: Solve for x
    x = 56,400,944,446.94/207,474.30
  6. Step 6: Final answer
    x = 271,845.45

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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.