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Finding the Fourth Proportional to 102,764.97, 154,162.89 and 36,193.41

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Solution

The fourth proportional to 102,764.97, 154,162.89 and 36,193.41 is: 54,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764.97 : 154,162.89 = 36,193.41 : x
  2. Step 2: Convert to fraction form
    102,764.97/154,162.89 = 36,193.41/x
  3. Step 3: Cross multiply
    102,764.97x = 154,162.89 × 36,193.41
  4. Step 4: Simplify right side
    102,764.97x = 5,579,680,684.55
  5. Step 5: Solve for x
    x = 5,579,680,684.55/102,764.97
  6. Step 6: Final answer
    x = 54,295.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.