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Finding the Fourth Proportional to 199,659.38, 275,527.86 and 109,015.06

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Solution

The fourth proportional to 199,659.38, 275,527.86 and 109,015.06 is: 150,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,659.38 : 275,527.86 = 109,015.06 : x
  2. Step 2: Convert to fraction form
    199,659.38/275,527.86 = 109,015.06/x
  3. Step 3: Cross multiply
    199,659.38x = 275,527.86 × 109,015.06
  4. Step 4: Simplify right side
    199,659.38x = 30,036,686,189.57
  5. Step 5: Solve for x
    x = 30,036,686,189.57/199,659.38
  6. Step 6: Final answer
    x = 150,439.64

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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.