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Finding the Fourth Proportional to 202,118.95, 303,179.33 and 52,348.60

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Solution

The fourth proportional to 202,118.95, 303,179.33 and 52,348.60 is: 78,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,118.95 : 303,179.33 = 52,348.60 : x
  2. Step 2: Convert to fraction form
    202,118.95/303,179.33 = 52,348.60/x
  3. Step 3: Cross multiply
    202,118.95x = 303,179.33 × 52,348.60
  4. Step 4: Simplify right side
    202,118.95x = 15,871,013,474.44
  5. Step 5: Solve for x
    x = 15,871,013,474.44/202,118.95
  6. Step 6: Final answer
    x = 78,523.13

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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.