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Finding the Fourth Proportional to 251,103.56, 346,438.44 and 142,193

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Solution

The fourth proportional to 251,103.56, 346,438.44 and 142,193 is: 196,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,103.56 : 346,438.44 = 142,193 : x
  2. Step 2: Convert to fraction form
    251,103.56/346,438.44 = 142,193/x
  3. Step 3: Cross multiply
    251,103.56x = 346,438.44 × 142,193
  4. Step 4: Simplify right side
    251,103.56x = 49,261,121,098.92
  5. Step 5: Solve for x
    x = 49,261,121,098.92/251,103.56
  6. Step 6: Final answer
    x = 196,178.51

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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.