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Finding the Fourth Proportional to 234,852.70, 352,147.02 and 77,067.94

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Solution

The fourth proportional to 234,852.70, 352,147.02 and 77,067.94 is: 115,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,852.70 : 352,147.02 = 77,067.94 : x
  2. Step 2: Convert to fraction form
    234,852.70/352,147.02 = 77,067.94/x
  3. Step 3: Cross multiply
    234,852.70x = 352,147.02 × 77,067.94
  4. Step 4: Simplify right side
    234,852.70x = 27,139,245,408.54
  5. Step 5: Solve for x
    x = 27,139,245,408.54/234,852.70
  6. Step 6: Final answer
    x = 115,558.58

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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.