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Finding the Fourth Proportional to 149,625.75, 206,487.86 and 82,562.07

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Solution

The fourth proportional to 149,625.75, 206,487.86 and 82,562.07 is: 113,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,625.75 : 206,487.86 = 82,562.07 : x
  2. Step 2: Convert to fraction form
    149,625.75/206,487.86 = 82,562.07/x
  3. Step 3: Cross multiply
    149,625.75x = 206,487.86 × 82,562.07
  4. Step 4: Simplify right side
    149,625.75x = 17,048,064,738.66
  5. Step 5: Solve for x
    x = 17,048,064,738.66/149,625.75
  6. Step 6: Final answer
    x = 113,938.04

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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.