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Finding the Fourth Proportional to 235,198.20, 352,676.34 and 77,408.76

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Solution

The fourth proportional to 235,198.20, 352,676.34 and 77,408.76 is: 116,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,198.20 : 352,676.34 = 77,408.76 : x
  2. Step 2: Convert to fraction form
    235,198.20/352,676.34 = 77,408.76/x
  3. Step 3: Cross multiply
    235,198.20x = 352,676.34 × 77,408.76
  4. Step 4: Simplify right side
    235,198.20x = 27,300,238,160.74
  5. Step 5: Solve for x
    x = 27,300,238,160.74/235,198.20
  6. Step 6: Final answer
    x = 116,073.33

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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.