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Finding the Fourth Proportional to 167,696.64, 231,400.32 and 113,367

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Solution

The fourth proportional to 167,696.64, 231,400.32 and 113,367 is: 156,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,696.64 : 231,400.32 = 113,367 : x
  2. Step 2: Convert to fraction form
    167,696.64/231,400.32 = 113,367/x
  3. Step 3: Cross multiply
    167,696.64x = 231,400.32 × 113,367
  4. Step 4: Simplify right side
    167,696.64x = 26,233,160,077.44
  5. Step 5: Solve for x
    x = 26,233,160,077.44/167,696.64
  6. Step 6: Final answer
    x = 156,432.23

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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.