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Finding the Fourth Proportional to 232,791, 321,241.21 and 136,003.83

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Solution

The fourth proportional to 232,791, 321,241.21 and 136,003.83 is: 187,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,791 : 321,241.21 = 136,003.83 : x
  2. Step 2: Convert to fraction form
    232,791/321,241.21 = 136,003.83/x
  3. Step 3: Cross multiply
    232,791x = 321,241.21 × 136,003.83
  4. Step 4: Simplify right side
    232,791x = 43,690,034,913.83
  5. Step 5: Solve for x
    x = 43,690,034,913.83/232,791
  6. Step 6: Final answer
    x = 187,679.23

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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.