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Finding the Fourth Proportional to 194,188.82, 267,975.13 and 108,147.77

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Solution

The fourth proportional to 194,188.82, 267,975.13 and 108,147.77 is: 149,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,188.82 : 267,975.13 = 108,147.77 : x
  2. Step 2: Convert to fraction form
    194,188.82/267,975.13 = 108,147.77/x
  3. Step 3: Cross multiply
    194,188.82x = 267,975.13 × 108,147.77
  4. Step 4: Simplify right side
    194,188.82x = 28,980,912,724.96
  5. Step 5: Solve for x
    x = 28,980,912,724.96/194,188.82
  6. Step 6: Final answer
    x = 149,240.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.