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Finding the Fourth Proportional to 150,706.94, 207,974.60 and 82,722.16

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Solution

The fourth proportional to 150,706.94, 207,974.60 and 82,722.16 is: 114,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,706.94 : 207,974.60 = 82,722.16 : x
  2. Step 2: Convert to fraction form
    150,706.94/207,974.60 = 82,722.16/x
  3. Step 3: Cross multiply
    150,706.94x = 207,974.60 × 82,722.16
  4. Step 4: Simplify right side
    150,706.94x = 17,204,107,097.26
  5. Step 5: Solve for x
    x = 17,204,107,097.26/150,706.94
  6. Step 6: Final answer
    x = 114,156.04

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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.