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Finding the Fourth Proportional to 202,644.70, 303,566.10 and 177,712.90

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Solution

The fourth proportional to 202,644.70, 303,566.10 and 177,712.90 is: 266,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,644.70 : 303,566.10 = 177,712.90 : x
  2. Step 2: Convert to fraction form
    202,644.70/303,566.10 = 177,712.90/x
  3. Step 3: Cross multiply
    202,644.70x = 303,566.10 × 177,712.90
  4. Step 4: Simplify right side
    202,644.70x = 53,947,611,972.69
  5. Step 5: Solve for x
    x = 53,947,611,972.69/202,644.70
  6. Step 6: Final answer
    x = 266,217.73

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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.