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Finding the Fourth Proportional to 234,835.14, 352,311 and 68,623.14

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Solution

The fourth proportional to 234,835.14, 352,311 and 68,623.14 is: 102,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,835.14 : 352,311 = 68,623.14 : x
  2. Step 2: Convert to fraction form
    234,835.14/352,311 = 68,623.14/x
  3. Step 3: Cross multiply
    234,835.14x = 352,311 × 68,623.14
  4. Step 4: Simplify right side
    234,835.14x = 24,176,687,076.54
  5. Step 5: Solve for x
    x = 24,176,687,076.54/234,835.14
  6. Step 6: Final answer
    x = 102,951.74

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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.