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Finding the Fourth Proportional to 272,101.77, 408,153.45 and 82,563.69

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Solution

The fourth proportional to 272,101.77, 408,153.45 and 82,563.69 is: 123,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,101.77 : 408,153.45 = 82,563.69 : x
  2. Step 2: Convert to fraction form
    272,101.77/408,153.45 = 82,563.69/x
  3. Step 3: Cross multiply
    272,101.77x = 408,153.45 × 82,563.69
  4. Step 4: Simplify right side
    272,101.77x = 33,698,654,918.23
  5. Step 5: Solve for x
    x = 33,698,654,918.23/272,101.77
  6. Step 6: Final answer
    x = 123,845.78

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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.