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Finding the Fourth Proportional to 201,914.37, 303,012.09 and 83,586.33

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Solution

The fourth proportional to 201,914.37, 303,012.09 and 83,586.33 is: 125,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914.37 : 303,012.09 = 83,586.33 : x
  2. Step 2: Convert to fraction form
    201,914.37/303,012.09 = 83,586.33/x
  3. Step 3: Cross multiply
    201,914.37x = 303,012.09 × 83,586.33
  4. Step 4: Simplify right side
    201,914.37x = 25,327,668,548.73
  5. Step 5: Solve for x
    x = 25,327,668,548.73/201,914.37
  6. Step 6: Final answer
    x = 125,437.67

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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.