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Finding the Fourth Proportional to 168,684.43, 232,784.31 and 92,204.02

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Solution

The fourth proportional to 168,684.43, 232,784.31 and 92,204.02 is: 127,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,684.43 : 232,784.31 = 92,204.02 : x
  2. Step 2: Convert to fraction form
    168,684.43/232,784.31 = 92,204.02/x
  3. Step 3: Cross multiply
    168,684.43x = 232,784.31 × 92,204.02
  4. Step 4: Simplify right side
    168,684.43x = 21,463,649,174.93
  5. Step 5: Solve for x
    x = 21,463,649,174.93/168,684.43
  6. Step 6: Final answer
    x = 127,241.44

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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.