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Finding the Fourth Proportional to 140,919.78, 194,448.16 and 80,477.56

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Solution

The fourth proportional to 140,919.78, 194,448.16 and 80,477.56 is: 111,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,919.78 : 194,448.16 = 80,477.56 : x
  2. Step 2: Convert to fraction form
    140,919.78/194,448.16 = 80,477.56/x
  3. Step 3: Cross multiply
    140,919.78x = 194,448.16 × 80,477.56
  4. Step 4: Simplify right side
    140,919.78x = 15,648,713,463.29
  5. Step 5: Solve for x
    x = 15,648,713,463.29/140,919.78
  6. Step 6: Final answer
    x = 111,046.96

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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.