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Finding the Fourth Proportional to 154,552.86, 231,769.74 and 54,694.44

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Solution

The fourth proportional to 154,552.86, 231,769.74 and 54,694.44 is: 82,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,552.86 : 231,769.74 = 54,694.44 : x
  2. Step 2: Convert to fraction form
    154,552.86/231,769.74 = 54,694.44/x
  3. Step 3: Cross multiply
    154,552.86x = 231,769.74 × 54,694.44
  4. Step 4: Simplify right side
    154,552.86x = 12,676,516,138.25
  5. Step 5: Solve for x
    x = 12,676,516,138.25/154,552.86
  6. Step 6: Final answer
    x = 82,020.59

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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.