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Finding the Fourth Proportional to 178,662.44, 267,992.03 and 78,822.71

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Solution

The fourth proportional to 178,662.44, 267,992.03 and 78,822.71 is: 118,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,662.44 : 267,992.03 = 78,822.71 : x
  2. Step 2: Convert to fraction form
    178,662.44/267,992.03 = 78,822.71/x
  3. Step 3: Cross multiply
    178,662.44x = 267,992.03 × 78,822.71
  4. Step 4: Simplify right side
    178,662.44x = 21,123,858,930.04
  5. Step 5: Solve for x
    x = 21,123,858,930.04/178,662.44
  6. Step 6: Final answer
    x = 118,233.35

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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.