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Finding the Fourth Proportional to 150,634.94, 207,869.26 and 82,650.22

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Solution

The fourth proportional to 150,634.94, 207,869.26 and 82,650.22 is: 114,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,634.94 : 207,869.26 = 82,650.22 : x
  2. Step 2: Convert to fraction form
    150,634.94/207,869.26 = 82,650.22/x
  3. Step 3: Cross multiply
    150,634.94x = 207,869.26 × 82,650.22
  4. Step 4: Simplify right side
    150,634.94x = 17,180,440,900.63
  5. Step 5: Solve for x
    x = 17,180,440,900.63/150,634.94
  6. Step 6: Final answer
    x = 114,053.49

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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.