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Finding the Fourth Proportional to 272,204.83, 408,307.91 and 82,666.64

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Solution

The fourth proportional to 272,204.83, 408,307.91 and 82,666.64 is: 124,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,204.83 : 408,307.91 = 82,666.64 : x
  2. Step 2: Convert to fraction form
    272,204.83/408,307.91 = 82,666.64/x
  3. Step 3: Cross multiply
    272,204.83x = 408,307.91 × 82,666.64
  4. Step 4: Simplify right side
    272,204.83x = 33,753,443,612.56
  5. Step 5: Solve for x
    x = 33,753,443,612.56/272,204.83
  6. Step 6: Final answer
    x = 124,000.16

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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.