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Finding the Fourth Proportional to 202,100.50, 303,149.52 and 52,340.41

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Solution

The fourth proportional to 202,100.50, 303,149.52 and 52,340.41 is: 78,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,100.50 : 303,149.52 = 52,340.41 : x
  2. Step 2: Convert to fraction form
    202,100.50/303,149.52 = 52,340.41/x
  3. Step 3: Cross multiply
    202,100.50x = 303,149.52 × 52,340.41
  4. Step 4: Simplify right side
    202,100.50x = 15,866,970,168.10
  5. Step 5: Solve for x
    x = 15,866,970,168.10/202,100.50
  6. Step 6: Final answer
    x = 78,510.30

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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.