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Finding the Fourth Proportional to 150,446.49, 207,619.92 and 82,466.43

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Solution

The fourth proportional to 150,446.49, 207,619.92 and 82,466.43 is: 113,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,446.49 : 207,619.92 = 82,466.43 : x
  2. Step 2: Convert to fraction form
    150,446.49/207,619.92 = 82,466.43/x
  3. Step 3: Cross multiply
    150,446.49x = 207,619.92 × 82,466.43
  4. Step 4: Simplify right side
    150,446.49x = 17,121,673,599.29
  5. Step 5: Solve for x
    x = 17,121,673,599.29/150,446.49
  6. Step 6: Final answer
    x = 113,805.74

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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.