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Finding the Fourth Proportional to 149,706, 206,594.46 and 82,638

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Solution

The fourth proportional to 149,706, 206,594.46 and 82,638 is: 114,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,706 : 206,594.46 = 82,638 : x
  2. Step 2: Convert to fraction form
    149,706/206,594.46 = 82,638/x
  3. Step 3: Cross multiply
    149,706x = 206,594.46 × 82,638
  4. Step 4: Simplify right side
    149,706x = 17,072,552,985.48
  5. Step 5: Solve for x
    x = 17,072,552,985.48/149,706
  6. Step 6: Final answer
    x = 114,040.54

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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.