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Finding the Fourth Proportional to 150,677.38, 207,927.84 and 82,692.64

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Solution

The fourth proportional to 150,677.38, 207,927.84 and 82,692.64 is: 114,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,677.38 : 207,927.84 = 82,692.64 : x
  2. Step 2: Convert to fraction form
    150,677.38/207,927.84 = 82,692.64/x
  3. Step 3: Cross multiply
    150,677.38x = 207,927.84 × 82,692.64
  4. Step 4: Simplify right side
    150,677.38x = 17,194,102,019.10
  5. Step 5: Solve for x
    x = 17,194,102,019.10/150,677.38
  6. Step 6: Final answer
    x = 114,112.03

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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.