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Finding the Fourth Proportional to 277,745.10, 416,573.10 and 100,160.70

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Solution

The fourth proportional to 277,745.10, 416,573.10 and 100,160.70 is: 150,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,745.10 : 416,573.10 = 100,160.70 : x
  2. Step 2: Convert to fraction form
    277,745.10/416,573.10 = 100,160.70/x
  3. Step 3: Cross multiply
    277,745.10x = 416,573.10 × 100,160.70
  4. Step 4: Simplify right side
    277,745.10x = 41,724,253,297.17
  5. Step 5: Solve for x
    x = 41,724,253,297.17/277,745.10
  6. Step 6: Final answer
    x = 150,224.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.