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Finding the Fourth Proportional to 194,142.89, 267,842.74 and 120,520.79

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Solution

The fourth proportional to 194,142.89, 267,842.74 and 120,520.79 is: 166,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,142.89 : 267,842.74 = 120,520.79 : x
  2. Step 2: Convert to fraction form
    194,142.89/267,842.74 = 120,520.79/x
  3. Step 3: Cross multiply
    194,142.89x = 267,842.74 × 120,520.79
  4. Step 4: Simplify right side
    194,142.89x = 32,280,618,050.32
  5. Step 5: Solve for x
    x = 32,280,618,050.32/194,142.89
  6. Step 6: Final answer
    x = 166,272.47

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