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Finding the Fourth Proportional to 150,770.50, 208,053.97 and 82,787.20

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Solution

The fourth proportional to 150,770.50, 208,053.97 and 82,787.20 is: 114,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,770.50 : 208,053.97 = 82,787.20 : x
  2. Step 2: Convert to fraction form
    150,770.50/208,053.97 = 82,787.20/x
  3. Step 3: Cross multiply
    150,770.50x = 208,053.97 × 82,787.20
  4. Step 4: Simplify right side
    150,770.50x = 17,224,204,898.08
  5. Step 5: Solve for x
    x = 17,224,204,898.08/150,770.50
  6. Step 6: Final answer
    x = 114,241.22

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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.