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Finding the Fourth Proportional to 150,622.64, 207,857.44 and 82,640.18

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Solution

The fourth proportional to 150,622.64, 207,857.44 and 82,640.18 is: 114,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,622.64 : 207,857.44 = 82,640.18 : x
  2. Step 2: Convert to fraction form
    150,622.64/207,857.44 = 82,640.18/x
  3. Step 3: Cross multiply
    150,622.64x = 207,857.44 × 82,640.18
  4. Step 4: Simplify right side
    150,622.64x = 17,177,376,878.88
  5. Step 5: Solve for x
    x = 17,177,376,878.88/150,622.64
  6. Step 6: Final answer
    x = 114,042.46

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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.