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Finding the Fourth Proportional to 183,759.94, 275,270.85 and 83,782.60

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Solution

The fourth proportional to 183,759.94, 275,270.85 and 83,782.60 is: 125,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,759.94 : 275,270.85 = 83,782.60 : x
  2. Step 2: Convert to fraction form
    183,759.94/275,270.85 = 83,782.60/x
  3. Step 3: Cross multiply
    183,759.94x = 275,270.85 × 83,782.60
  4. Step 4: Simplify right side
    183,759.94x = 23,062,907,517.21
  5. Step 5: Solve for x
    x = 23,062,907,517.21/183,759.94
  6. Step 6: Final answer
    x = 125,505.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.