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Finding the Fourth Proportional to 201,318.62, 302,027.24 and 100,164.41

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Solution

The fourth proportional to 201,318.62, 302,027.24 and 100,164.41 is: 150,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,318.62 : 302,027.24 = 100,164.41 : x
  2. Step 2: Convert to fraction form
    201,318.62/302,027.24 = 100,164.41/x
  3. Step 3: Cross multiply
    201,318.62x = 302,027.24 × 100,164.41
  4. Step 4: Simplify right side
    201,318.62x = 30,252,378,788.39
  5. Step 5: Solve for x
    x = 30,252,378,788.39/201,318.62
  6. Step 6: Final answer
    x = 150,271.14

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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.