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Finding the Fourth Proportional to 201,408.73, 277,937.69 and 110,764.41

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Solution

The fourth proportional to 201,408.73, 277,937.69 and 110,764.41 is: 152,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.73 : 277,937.69 = 110,764.41 : x
  2. Step 2: Convert to fraction form
    201,408.73/277,937.69 = 110,764.41/x
  3. Step 3: Cross multiply
    201,408.73x = 277,937.69 × 110,764.41
  4. Step 4: Simplify right side
    201,408.73x = 30,785,603,972.70
  5. Step 5: Solve for x
    x = 30,785,603,972.70/201,408.73
  6. Step 6: Final answer
    x = 152,851.39

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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.