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Finding the Fourth Proportional to 234,852, 352,204 and 77,043.68

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Solution

The fourth proportional to 234,852, 352,204 and 77,043.68 is: 115,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,852 : 352,204 = 77,043.68 : x
  2. Step 2: Convert to fraction form
    234,852/352,204 = 77,043.68/x
  3. Step 3: Cross multiply
    234,852x = 352,204 × 77,043.68
  4. Step 4: Simplify right side
    234,852x = 27,135,092,270.72
  5. Step 5: Solve for x
    x = 27,135,092,270.72/234,852
  6. Step 6: Final answer
    x = 115,541.24

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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.