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Finding the Fourth Proportional to 339,202.49, 508,843.82 and 149,582.30

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Solution

The fourth proportional to 339,202.49, 508,843.82 and 149,582.30 is: 224,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,202.49 : 508,843.82 = 149,582.30 : x
  2. Step 2: Convert to fraction form
    339,202.49/508,843.82 = 149,582.30/x
  3. Step 3: Cross multiply
    339,202.49x = 508,843.82 × 149,582.30
  4. Step 4: Simplify right side
    339,202.49x = 76,114,026,766.12
  5. Step 5: Solve for x
    x = 76,114,026,766.12/339,202.49
  6. Step 6: Final answer
    x = 224,391.12

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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.