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Finding the Fourth Proportional to 263,644.68, 363,836.31 and 161,726.34

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Solution

The fourth proportional to 263,644.68, 363,836.31 and 161,726.34 is: 223,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,644.68 : 363,836.31 = 161,726.34 : x
  2. Step 2: Convert to fraction form
    263,644.68/363,836.31 = 161,726.34/x
  3. Step 3: Cross multiply
    263,644.68x = 363,836.31 × 161,726.34
  4. Step 4: Simplify right side
    263,644.68x = 58,841,914,775.41
  5. Step 5: Solve for x
    x = 58,841,914,775.41/263,644.68
  6. Step 6: Final answer
    x = 223,186.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.