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Finding the Fourth Proportional to 277,617.78, 383,112.66 and 150,293.37

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Solution

The fourth proportional to 277,617.78, 383,112.66 and 150,293.37 is: 207,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,617.78 : 383,112.66 = 150,293.37 : x
  2. Step 2: Convert to fraction form
    277,617.78/383,112.66 = 150,293.37/x
  3. Step 3: Cross multiply
    277,617.78x = 383,112.66 × 150,293.37
  4. Step 4: Simplify right side
    277,617.78x = 57,579,292,761.06
  5. Step 5: Solve for x
    x = 57,579,292,761.06/277,617.78
  6. Step 6: Final answer
    x = 207,404.92

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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.