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Finding the Fourth Proportional to 164,079.44, 226,423.20 and 92,474

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Solution

The fourth proportional to 164,079.44, 226,423.20 and 92,474 is: 127,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,079.44 : 226,423.20 = 92,474 : x
  2. Step 2: Convert to fraction form
    164,079.44/226,423.20 = 92,474/x
  3. Step 3: Cross multiply
    164,079.44x = 226,423.20 × 92,474
  4. Step 4: Simplify right side
    164,079.44x = 20,938,258,996.80
  5. Step 5: Solve for x
    x = 20,938,258,996.80/164,079.44
  6. Step 6: Final answer
    x = 127,610.50

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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.