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Finding the Fourth Proportional to 150,634.28, 207,868.28 and 82,649.72

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Solution

The fourth proportional to 150,634.28, 207,868.28 and 82,649.72 is: 114,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,634.28 : 207,868.28 = 82,649.72 : x
  2. Step 2: Convert to fraction form
    150,634.28/207,868.28 = 82,649.72/x
  3. Step 3: Cross multiply
    150,634.28x = 207,868.28 × 82,649.72
  4. Step 4: Simplify right side
    150,634.28x = 17,180,255,138.88
  5. Step 5: Solve for x
    x = 17,180,255,138.88/150,634.28
  6. Step 6: Final answer
    x = 114,052.76

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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.