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Finding the Fourth Proportional to 149,969.26, 206,957.54 and 81,986.52

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Solution

The fourth proportional to 149,969.26, 206,957.54 and 81,986.52 is: 113,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,969.26 : 206,957.54 = 81,986.52 : x
  2. Step 2: Convert to fraction form
    149,969.26/206,957.54 = 81,986.52/x
  3. Step 3: Cross multiply
    149,969.26x = 206,957.54 × 81,986.52
  4. Step 4: Simplify right side
    149,969.26x = 16,967,728,492.36
  5. Step 5: Solve for x
    x = 16,967,728,492.36/149,969.26
  6. Step 6: Final answer
    x = 113,141.38

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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.