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Finding the Fourth Proportional to 140,709, 194,178.44 and 81,093

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Solution

The fourth proportional to 140,709, 194,178.44 and 81,093 is: 111,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,709 : 194,178.44 = 81,093 : x
  2. Step 2: Convert to fraction form
    140,709/194,178.44 = 81,093/x
  3. Step 3: Cross multiply
    140,709x = 194,178.44 × 81,093
  4. Step 4: Simplify right side
    140,709x = 15,746,512,234.92
  5. Step 5: Solve for x
    x = 15,746,512,234.92/140,709
  6. Step 6: Final answer
    x = 111,908.35

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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.