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Finding the Fourth Proportional to 200,659.62, 300,725.37 and 111,954.90

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Solution

The fourth proportional to 200,659.62, 300,725.37 and 111,954.90 is: 167,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,659.62 : 300,725.37 = 111,954.90 : x
  2. Step 2: Convert to fraction form
    200,659.62/300,725.37 = 111,954.90/x
  3. Step 3: Cross multiply
    200,659.62x = 300,725.37 × 111,954.90
  4. Step 4: Simplify right side
    200,659.62x = 33,667,678,725.81
  5. Step 5: Solve for x
    x = 33,667,678,725.81/200,659.62
  6. Step 6: Final answer
    x = 167,785.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.