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Finding the Fourth Proportional to 199,083.75, 274,735.59 and 109,659.75

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Solution

The fourth proportional to 199,083.75, 274,735.59 and 109,659.75 is: 151,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,083.75 : 274,735.59 = 109,659.75 : x
  2. Step 2: Convert to fraction form
    199,083.75/274,735.59 = 109,659.75/x
  3. Step 3: Cross multiply
    199,083.75x = 274,735.59 × 109,659.75
  4. Step 4: Simplify right side
    199,083.75x = 30,127,436,115.50
  5. Step 5: Solve for x
    x = 30,127,436,115.50/199,083.75
  6. Step 6: Final answer
    x = 151,330.46

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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.