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Finding the Fourth Proportional to 178,596.41, 267,969.57 and 111,184.82

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Solution

The fourth proportional to 178,596.41, 267,969.57 and 111,184.82 is: 166,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,596.41 : 267,969.57 = 111,184.82 : x
  2. Step 2: Convert to fraction form
    178,596.41/267,969.57 = 111,184.82/x
  3. Step 3: Cross multiply
    178,596.41x = 267,969.57 × 111,184.82
  4. Step 4: Simplify right side
    178,596.41x = 29,794,147,066.08
  5. Step 5: Solve for x
    x = 29,794,147,066.08/178,596.41
  6. Step 6: Final answer
    x = 166,823.89

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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.