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Finding the Fourth Proportional to 307,761.26, 461,668.32 and 108,064.48

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Solution

The fourth proportional to 307,761.26, 461,668.32 and 108,064.48 is: 162,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,761.26 : 461,668.32 = 108,064.48 : x
  2. Step 2: Convert to fraction form
    307,761.26/461,668.32 = 108,064.48/x
  3. Step 3: Cross multiply
    307,761.26x = 461,668.32 × 108,064.48
  4. Step 4: Simplify right side
    307,761.26x = 49,889,946,933.27
  5. Step 5: Solve for x
    x = 49,889,946,933.27/307,761.26
  6. Step 6: Final answer
    x = 162,106.00

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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.