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Finding the Fourth Proportional to 207,923.80, 311,367.30 and 166,451.80

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Solution

The fourth proportional to 207,923.80, 311,367.30 and 166,451.80 is: 249,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,923.80 : 311,367.30 = 166,451.80 : x
  2. Step 2: Convert to fraction form
    207,923.80/311,367.30 = 166,451.80/x
  3. Step 3: Cross multiply
    207,923.80x = 311,367.30 × 166,451.80
  4. Step 4: Simplify right side
    207,923.80x = 51,827,647,546.14
  5. Step 5: Solve for x
    x = 51,827,647,546.14/207,923.80
  6. Step 6: Final answer
    x = 249,262.70

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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.