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Finding the Fourth Proportional to 149,893.79, 206,758.31 and 114,005.12

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Solution

The fourth proportional to 149,893.79, 206,758.31 and 114,005.12 is: 157,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,893.79 : 206,758.31 = 114,005.12 : x
  2. Step 2: Convert to fraction form
    149,893.79/206,758.31 = 114,005.12/x
  3. Step 3: Cross multiply
    149,893.79x = 206,758.31 × 114,005.12
  4. Step 4: Simplify right side
    149,893.79x = 23,571,504,338.73
  5. Step 5: Solve for x
    x = 23,571,504,338.73/149,893.79
  6. Step 6: Final answer
    x = 157,254.71

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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.