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Finding the Fourth Proportional to 277,906.37, 383,511.06 and 150,581.97

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Solution

The fourth proportional to 277,906.37, 383,511.06 and 150,581.97 is: 207,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,906.37 : 383,511.06 = 150,581.97 : x
  2. Step 2: Convert to fraction form
    277,906.37/383,511.06 = 150,581.97/x
  3. Step 3: Cross multiply
    277,906.37x = 383,511.06 × 150,581.97
  4. Step 4: Simplify right side
    277,906.37x = 57,749,850,931.59
  5. Step 5: Solve for x
    x = 57,749,850,931.59/277,906.37
  6. Step 6: Final answer
    x = 207,803.27

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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.