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Finding the Fourth Proportional to 208,061.20, 312,091.80 and 166,589.20

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Solution

The fourth proportional to 208,061.20, 312,091.80 and 166,589.20 is: 249,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,061.20 : 312,091.80 = 166,589.20 : x
  2. Step 2: Convert to fraction form
    208,061.20/312,091.80 = 166,589.20/x
  3. Step 3: Cross multiply
    208,061.20x = 312,091.80 × 166,589.20
  4. Step 4: Simplify right side
    208,061.20x = 51,991,123,288.56
  5. Step 5: Solve for x
    x = 51,991,123,288.56/208,061.20
  6. Step 6: Final answer
    x = 249,883.80

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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.