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Finding the Fourth Proportional to 164,273, 226,704.66 and 92,651.41

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Solution

The fourth proportional to 164,273, 226,704.66 and 92,651.41 is: 127,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,273 : 226,704.66 = 92,651.41 : x
  2. Step 2: Convert to fraction form
    164,273/226,704.66 = 92,651.41/x
  3. Step 3: Cross multiply
    164,273x = 226,704.66 × 92,651.41
  4. Step 4: Simplify right side
    164,273x = 21,004,505,269.05
  5. Step 5: Solve for x
    x = 21,004,505,269.05/164,273
  6. Step 6: Final answer
    x = 127,863.41

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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.