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Finding the Fourth Proportional to 167,970.50, 231,799.26 and 92,519

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Solution

The fourth proportional to 167,970.50, 231,799.26 and 92,519 is: 127,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,970.50 : 231,799.26 = 92,519 : x
  2. Step 2: Convert to fraction form
    167,970.50/231,799.26 = 92,519/x
  3. Step 3: Cross multiply
    167,970.50x = 231,799.26 × 92,519
  4. Step 4: Simplify right side
    167,970.50x = 21,445,835,735.94
  5. Step 5: Solve for x
    x = 21,445,835,735.94/167,970.50
  6. Step 6: Final answer
    x = 127,676.20

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1.5x scale

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.