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Finding the Fourth Proportional to 202,872.20, 304,494.30 and 103,101.80

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Solution

The fourth proportional to 202,872.20, 304,494.30 and 103,101.80 is: 154,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,872.20 : 304,494.30 = 103,101.80 : x
  2. Step 2: Convert to fraction form
    202,872.20/304,494.30 = 103,101.80/x
  3. Step 3: Cross multiply
    202,872.20x = 304,494.30 × 103,101.80
  4. Step 4: Simplify right side
    202,872.20x = 31,393,910,419.74
  5. Step 5: Solve for x
    x = 31,393,910,419.74/202,872.20
  6. Step 6: Final answer
    x = 154,747.23

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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.