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Finding the Fourth Proportional to 202,169.20, 303,253.80 and 52,408.30

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Solution

The fourth proportional to 202,169.20, 303,253.80 and 52,408.30 is: 78,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,169.20 : 303,253.80 = 52,408.30 : x
  2. Step 2: Convert to fraction form
    202,169.20/303,253.80 = 52,408.30/x
  3. Step 3: Cross multiply
    202,169.20x = 303,253.80 × 52,408.30
  4. Step 4: Simplify right side
    202,169.20x = 15,893,016,126.54
  5. Step 5: Solve for x
    x = 15,893,016,126.54/202,169.20
  6. Step 6: Final answer
    x = 78,612.45

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1.5x scale

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.