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Finding the Fourth Proportional to 204,907.81, 307,361.72 and 55,148.44

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Solution

The fourth proportional to 204,907.81, 307,361.72 and 55,148.44 is: 82,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,907.81 : 307,361.72 = 55,148.44 : x
  2. Step 2: Convert to fraction form
    204,907.81/307,361.72 = 55,148.44/x
  3. Step 3: Cross multiply
    204,907.81x = 307,361.72 × 55,148.44
  4. Step 4: Simplify right side
    204,907.81x = 16,950,519,373.72
  5. Step 5: Solve for x
    x = 16,950,519,373.72/204,907.81
  6. Step 6: Final answer
    x = 82,722.66

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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.