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Finding the Fourth Proportional to 194,294.38, 268,163.94 and 109,411.96

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Solution

The fourth proportional to 194,294.38, 268,163.94 and 109,411.96 is: 151,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,294.38 : 268,163.94 = 109,411.96 : x
  2. Step 2: Convert to fraction form
    194,294.38/268,163.94 = 109,411.96/x
  3. Step 3: Cross multiply
    194,294.38x = 268,163.94 × 109,411.96
  4. Step 4: Simplify right side
    194,294.38x = 29,340,342,276.72
  5. Step 5: Solve for x
    x = 29,340,342,276.72/194,294.38
  6. Step 6: Final answer
    x = 151,009.73

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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.