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Finding the Fourth Proportional to 199,912.75, 299,869.17 and 52,168.75

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Solution

The fourth proportional to 199,912.75, 299,869.17 and 52,168.75 is: 78,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,912.75 : 299,869.17 = 52,168.75 : x
  2. Step 2: Convert to fraction form
    199,912.75/299,869.17 = 52,168.75/x
  3. Step 3: Cross multiply
    199,912.75x = 299,869.17 × 52,168.75
  4. Step 4: Simplify right side
    199,912.75x = 15,643,799,762.44
  5. Step 5: Solve for x
    x = 15,643,799,762.44/199,912.75
  6. Step 6: Final answer
    x = 78,253.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.