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Finding the Fourth Proportional to 178,578.45, 267,869.16 and 45,458.73

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Solution

The fourth proportional to 178,578.45, 267,869.16 and 45,458.73 is: 68,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,578.45 : 267,869.16 = 45,458.73 : x
  2. Step 2: Convert to fraction form
    178,578.45/267,869.16 = 45,458.73/x
  3. Step 3: Cross multiply
    178,578.45x = 267,869.16 × 45,458.73
  4. Step 4: Simplify right side
    178,578.45x = 12,176,991,819.77
  5. Step 5: Solve for x
    x = 12,176,991,819.77/178,578.45
  6. Step 6: Final answer
    x = 68,188.47

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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.