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Finding the Fourth Proportional to 234,982.76, 352,435.26 and 77,212.58

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Solution

The fourth proportional to 234,982.76, 352,435.26 and 77,212.58 is: 115,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,982.76 : 352,435.26 = 77,212.58 : x
  2. Step 2: Convert to fraction form
    234,982.76/352,435.26 = 77,212.58/x
  3. Step 3: Cross multiply
    234,982.76x = 352,435.26 × 77,212.58
  4. Step 4: Simplify right side
    234,982.76x = 27,212,435,707.57
  5. Step 5: Solve for x
    x = 27,212,435,707.57/234,982.76
  6. Step 6: Final answer
    x = 115,806.09

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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.