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Finding the Fourth Proportional to 178,964.65, 268,440.79 and 45,846.21

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Solution

The fourth proportional to 178,964.65, 268,440.79 and 45,846.21 is: 68,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,964.65 : 268,440.79 = 45,846.21 : x
  2. Step 2: Convert to fraction form
    178,964.65/268,440.79 = 45,846.21/x
  3. Step 3: Cross multiply
    178,964.65x = 268,440.79 × 45,846.21
  4. Step 4: Simplify right side
    178,964.65x = 12,306,992,830.91
  5. Step 5: Solve for x
    x = 12,306,992,830.91/178,964.65
  6. Step 6: Final answer
    x = 68,767.73

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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.