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Finding the Fourth Proportional to 167,770, 231,524.20 and 92,320.16

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Solution

The fourth proportional to 167,770, 231,524.20 and 92,320.16 is: 127,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,770 : 231,524.20 = 92,320.16 : x
  2. Step 2: Convert to fraction form
    167,770/231,524.20 = 92,320.16/x
  3. Step 3: Cross multiply
    167,770x = 231,524.20 × 92,320.16
  4. Step 4: Simplify right side
    167,770x = 21,374,351,187.87
  5. Step 5: Solve for x
    x = 21,374,351,187.87/167,770
  6. Step 6: Final answer
    x = 127,402.70

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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.