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Finding the Fourth Proportional to 202,134.40, 303,201.60 and 61,892.80

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Solution

The fourth proportional to 202,134.40, 303,201.60 and 61,892.80 is: 92,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,134.40 : 303,201.60 = 61,892.80 : x
  2. Step 2: Convert to fraction form
    202,134.40/303,201.60 = 61,892.80/x
  3. Step 3: Cross multiply
    202,134.40x = 303,201.60 × 61,892.80
  4. Step 4: Simplify right side
    202,134.40x = 18,765,995,988.48
  5. Step 5: Solve for x
    x = 18,765,995,988.48/202,134.40
  6. Step 6: Final answer
    x = 92,839.20

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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.