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Finding the Fourth Proportional to 167,625.96, 231,325.50 and 92,175

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Solution

The fourth proportional to 167,625.96, 231,325.50 and 92,175 is: 127,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,625.96 : 231,325.50 = 92,175 : x
  2. Step 2: Convert to fraction form
    167,625.96/231,325.50 = 92,175/x
  3. Step 3: Cross multiply
    167,625.96x = 231,325.50 × 92,175
  4. Step 4: Simplify right side
    167,625.96x = 21,322,427,962.50
  5. Step 5: Solve for x
    x = 21,322,427,962.50/167,625.96
  6. Step 6: Final answer
    x = 127,202.42

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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.