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Finding the Fourth Proportional to 178,825.20, 267,930.60 and 116,463.60

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Solution

The fourth proportional to 178,825.20, 267,930.60 and 116,463.60 is: 174,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,825.20 : 267,930.60 = 116,463.60 : x
  2. Step 2: Convert to fraction form
    178,825.20/267,930.60 = 116,463.60/x
  3. Step 3: Cross multiply
    178,825.20x = 267,930.60 × 116,463.60
  4. Step 4: Simplify right side
    178,825.20x = 31,204,162,226.16
  5. Step 5: Solve for x
    x = 31,204,162,226.16/178,825.20
  6. Step 6: Final answer
    x = 174,495.33

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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.