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Finding the Fourth Proportional to 166,849, 250,271.49 and 67,007.40

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Solution

The fourth proportional to 166,849, 250,271.49 and 67,007.40 is: 100,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,849 : 250,271.49 = 67,007.40 : x
  2. Step 2: Convert to fraction form
    166,849/250,271.49 = 67,007.40/x
  3. Step 3: Cross multiply
    166,849x = 250,271.49 × 67,007.40
  4. Step 4: Simplify right side
    166,849x = 16,770,041,839.03
  5. Step 5: Solve for x
    x = 16,770,041,839.03/166,849
  6. Step 6: Final answer
    x = 100,510.29

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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.