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Finding the Fourth Proportional to 277,843.57, 383,424.05 and 150,519.15

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Solution

The fourth proportional to 277,843.57, 383,424.05 and 150,519.15 is: 207,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,843.57 : 383,424.05 = 150,519.15 : x
  2. Step 2: Convert to fraction form
    277,843.57/383,424.05 = 150,519.15/x
  3. Step 3: Cross multiply
    277,843.57x = 383,424.05 × 150,519.15
  4. Step 4: Simplify right side
    277,843.57x = 57,712,662,471.86
  5. Step 5: Solve for x
    x = 57,712,662,471.86/277,843.57
  6. Step 6: Final answer
    x = 207,716.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.