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Finding the Fourth Proportional to 201,408.87, 277,938.68 and 110,764.83

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Solution

The fourth proportional to 201,408.87, 277,938.68 and 110,764.83 is: 152,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.87 : 277,938.68 = 110,764.83 : x
  2. Step 2: Convert to fraction form
    201,408.87/277,938.68 = 110,764.83/x
  3. Step 3: Cross multiply
    201,408.87x = 277,938.68 × 110,764.83
  4. Step 4: Simplify right side
    201,408.87x = 30,785,830,640.62
  5. Step 5: Solve for x
    x = 30,785,830,640.62/201,408.87
  6. Step 6: Final answer
    x = 152,852.41

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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.