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Finding the Fourth Proportional to 202,936.80, 304,405.20 and 197,104.80

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Solution

The fourth proportional to 202,936.80, 304,405.20 and 197,104.80 is: 295,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,936.80 : 304,405.20 = 197,104.80 : x
  2. Step 2: Convert to fraction form
    202,936.80/304,405.20 = 197,104.80/x
  3. Step 3: Cross multiply
    202,936.80x = 304,405.20 × 197,104.80
  4. Step 4: Simplify right side
    202,936.80x = 59,999,726,064.96
  5. Step 5: Solve for x
    x = 59,999,726,064.96/202,936.80
  6. Step 6: Final answer
    x = 295,657.20

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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.