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Finding the Fourth Proportional to 204,297.80, 305,877.90 and 104,241.80

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Solution

The fourth proportional to 204,297.80, 305,877.90 and 104,241.80 is: 156,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,297.80 : 305,877.90 = 104,241.80 : x
  2. Step 2: Convert to fraction form
    204,297.80/305,877.90 = 104,241.80/x
  3. Step 3: Cross multiply
    204,297.80x = 305,877.90 × 104,241.80
  4. Step 4: Simplify right side
    204,297.80x = 31,885,262,876.22
  5. Step 5: Solve for x
    x = 31,885,262,876.22/204,297.80
  6. Step 6: Final answer
    x = 156,072.47

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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.