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Finding the Fourth Proportional to 205,640.55, 283,782.02 and 114,995.48

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Solution

The fourth proportional to 205,640.55, 283,782.02 and 114,995.48 is: 158,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,640.55 : 283,782.02 = 114,995.48 : x
  2. Step 2: Convert to fraction form
    205,640.55/283,782.02 = 114,995.48/x
  3. Step 3: Cross multiply
    205,640.55x = 283,782.02 × 114,995.48
  4. Step 4: Simplify right side
    205,640.55x = 32,633,647,611.38
  5. Step 5: Solve for x
    x = 32,633,647,611.38/205,640.55
  6. Step 6: Final answer
    x = 158,692.67

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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.