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Finding the Fourth Proportional to 167,830.96, 231,608.28 and 92,380

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Solution

The fourth proportional to 167,830.96, 231,608.28 and 92,380 is: 127,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,830.96 : 231,608.28 = 92,380 : x
  2. Step 2: Convert to fraction form
    167,830.96/231,608.28 = 92,380/x
  3. Step 3: Cross multiply
    167,830.96x = 231,608.28 × 92,380
  4. Step 4: Simplify right side
    167,830.96x = 21,395,972,906.40
  5. Step 5: Solve for x
    x = 21,395,972,906.40/167,830.96
  6. Step 6: Final answer
    x = 127,485.26

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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.