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Finding the Fourth Proportional to 178,495.36, 267,378.53 and 99,651.58

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Solution

The fourth proportional to 178,495.36, 267,378.53 and 99,651.58 is: 149,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,495.36 : 267,378.53 = 99,651.58 : x
  2. Step 2: Convert to fraction form
    178,495.36/267,378.53 = 99,651.58/x
  3. Step 3: Cross multiply
    178,495.36x = 267,378.53 × 99,651.58
  4. Step 4: Simplify right side
    178,495.36x = 26,644,691,635.68
  5. Step 5: Solve for x
    x = 26,644,691,635.68/178,495.36
  6. Step 6: Final answer
    x = 149,273.87

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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.