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Finding the Fourth Proportional to 199,735.90, 275,634.14 and 109,091.89

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Solution

The fourth proportional to 199,735.90, 275,634.14 and 109,091.89 is: 150,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,735.90 : 275,634.14 = 109,091.89 : x
  2. Step 2: Convert to fraction form
    199,735.90/275,634.14 = 109,091.89/x
  3. Step 3: Cross multiply
    199,735.90x = 275,634.14 × 109,091.89
  4. Step 4: Simplify right side
    199,735.90x = 30,069,448,918.63
  5. Step 5: Solve for x
    x = 30,069,448,918.63/199,735.90
  6. Step 6: Final answer
    x = 150,546.04

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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.