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Finding the Fourth Proportional to 234,868.92, 352,347.26 and 106,794.61

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Solution

The fourth proportional to 234,868.92, 352,347.26 and 106,794.61 is: 160,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,868.92 : 352,347.26 = 106,794.61 : x
  2. Step 2: Convert to fraction form
    234,868.92/352,347.26 = 106,794.61/x
  3. Step 3: Cross multiply
    234,868.92x = 352,347.26 × 106,794.61
  4. Step 4: Simplify right side
    234,868.92x = 37,628,788,122.91
  5. Step 5: Solve for x
    x = 37,628,788,122.91/234,868.92
  6. Step 6: Final answer
    x = 160,211.87

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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.