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Finding the Fourth Proportional to 194,768.78, 291,976.83 and 76,408.34

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Solution

The fourth proportional to 194,768.78, 291,976.83 and 76,408.34 is: 114,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,768.78 : 291,976.83 = 76,408.34 : x
  2. Step 2: Convert to fraction form
    194,768.78/291,976.83 = 76,408.34/x
  3. Step 3: Cross multiply
    194,768.78x = 291,976.83 × 76,408.34
  4. Step 4: Simplify right side
    194,768.78x = 22,309,463,438.88
  5. Step 5: Solve for x
    x = 22,309,463,438.88/194,768.78
  6. Step 6: Final answer
    x = 114,543.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.