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Finding the Fourth Proportional to 272,024.30, 408,094.05 and 82,469.10

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Solution

The fourth proportional to 272,024.30, 408,094.05 and 82,469.10 is: 123,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,024.30 : 408,094.05 = 82,469.10 : x
  2. Step 2: Convert to fraction form
    272,024.30/408,094.05 = 82,469.10/x
  3. Step 3: Cross multiply
    272,024.30x = 408,094.05 × 82,469.10
  4. Step 4: Simplify right side
    272,024.30x = 33,655,149,018.86
  5. Step 5: Solve for x
    x = 33,655,149,018.86/272,024.30
  6. Step 6: Final answer
    x = 123,721.11

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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.