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Finding the Fourth Proportional to 272,369.20, 408,553.80 and 82,829.20

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Solution

The fourth proportional to 272,369.20, 408,553.80 and 82,829.20 is: 124,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,369.20 : 408,553.80 = 82,829.20 : x
  2. Step 2: Convert to fraction form
    272,369.20/408,553.80 = 82,829.20/x
  3. Step 3: Cross multiply
    272,369.20x = 408,553.80 × 82,829.20
  4. Step 4: Simplify right side
    272,369.20x = 33,840,184,410.96
  5. Step 5: Solve for x
    x = 33,840,184,410.96/272,369.20
  6. Step 6: Final answer
    x = 124,243.80

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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.