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Finding the Fourth Proportional to 202,274.20, 303,411.30 and 52,513.30

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Solution

The fourth proportional to 202,274.20, 303,411.30 and 52,513.30 is: 78,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,274.20 : 303,411.30 = 52,513.30 : x
  2. Step 2: Convert to fraction form
    202,274.20/303,411.30 = 52,513.30/x
  3. Step 3: Cross multiply
    202,274.20x = 303,411.30 × 52,513.30
  4. Step 4: Simplify right side
    202,274.20x = 15,933,128,620.29
  5. Step 5: Solve for x
    x = 15,933,128,620.29/202,274.20
  6. Step 6: Final answer
    x = 78,769.95

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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.