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Finding the Fourth Proportional to 307,704.38, 461,762.74 and 108,025.36

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Solution

The fourth proportional to 307,704.38, 461,762.74 and 108,025.36 is: 162,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,704.38 : 461,762.74 = 108,025.36 : x
  2. Step 2: Convert to fraction form
    307,704.38/461,762.74 = 108,025.36/x
  3. Step 3: Cross multiply
    307,704.38x = 461,762.74 × 108,025.36
  4. Step 4: Simplify right side
    307,704.38x = 49,882,086,223.09
  5. Step 5: Solve for x
    x = 49,882,086,223.09/307,704.38
  6. Step 6: Final answer
    x = 162,110.42

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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.