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Finding the Fourth Proportional to 150,309, 207,426.04 and 82,326

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Solution

The fourth proportional to 150,309, 207,426.04 and 82,326 is: 113,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,309 : 207,426.04 = 82,326 : x
  2. Step 2: Convert to fraction form
    150,309/207,426.04 = 82,326/x
  3. Step 3: Cross multiply
    150,309x = 207,426.04 × 82,326
  4. Step 4: Simplify right side
    150,309x = 17,076,556,169.04
  5. Step 5: Solve for x
    x = 17,076,556,169.04/150,309
  6. Step 6: Final answer
    x = 113,609.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.