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Finding the Fourth Proportional to 202,498.80, 303,748.20 and 199,546.35

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Solution

The fourth proportional to 202,498.80, 303,748.20 and 199,546.35 is: 299,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,498.80 : 303,748.20 = 199,546.35 : x
  2. Step 2: Convert to fraction form
    202,498.80/303,748.20 = 199,546.35/x
  3. Step 3: Cross multiply
    202,498.80x = 303,748.20 × 199,546.35
  4. Step 4: Simplify right side
    202,498.80x = 60,611,844,629.07
  5. Step 5: Solve for x
    x = 60,611,844,629.07/202,498.80
  6. Step 6: Final answer
    x = 299,319.53

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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.