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Finding the Fourth Proportional to 270,509.96, 405,906.39 and 110,704.52

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Solution

The fourth proportional to 270,509.96, 405,906.39 and 110,704.52 is: 166,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,509.96 : 405,906.39 = 110,704.52 : x
  2. Step 2: Convert to fraction form
    270,509.96/405,906.39 = 110,704.52/x
  3. Step 3: Cross multiply
    270,509.96x = 405,906.39 × 110,704.52
  4. Step 4: Simplify right side
    270,509.96x = 44,935,673,084.65
  5. Step 5: Solve for x
    x = 44,935,673,084.65/270,509.96
  6. Step 6: Final answer
    x = 166,114.67

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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.