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Finding the Fourth Proportional to 149,527.92, 206,348.49 and 82,459.92

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Solution

The fourth proportional to 149,527.92, 206,348.49 and 82,459.92 is: 113,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,527.92 : 206,348.49 = 82,459.92 : x
  2. Step 2: Convert to fraction form
    149,527.92/206,348.49 = 82,459.92/x
  3. Step 3: Cross multiply
    149,527.92x = 206,348.49 × 82,459.92
  4. Step 4: Simplify right side
    149,527.92x = 17,015,479,977.52
  5. Step 5: Solve for x
    x = 17,015,479,977.52/149,527.92
  6. Step 6: Final answer
    x = 113,794.67

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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.