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Finding the Fourth Proportional to 281,796.44, 422,877.85 and 122,028.39

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Solution

The fourth proportional to 281,796.44, 422,877.85 and 122,028.39 is: 183,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,796.44 : 422,877.85 = 122,028.39 : x
  2. Step 2: Convert to fraction form
    281,796.44/422,877.85 = 122,028.39/x
  3. Step 3: Cross multiply
    281,796.44x = 422,877.85 × 122,028.39
  4. Step 4: Simplify right side
    281,796.44x = 51,603,102,897.09
  5. Step 5: Solve for x
    x = 51,603,102,897.09/281,796.44
  6. Step 6: Final answer
    x = 183,121.92

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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.