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Finding the Fourth Proportional to 307,804.72, 461,733.40 and 108,107.72

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Solution

The fourth proportional to 307,804.72, 461,733.40 and 108,107.72 is: 162,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,804.72 : 461,733.40 = 108,107.72 : x
  2. Step 2: Convert to fraction form
    307,804.72/461,733.40 = 108,107.72/x
  3. Step 3: Cross multiply
    307,804.72x = 461,733.40 × 108,107.72
  4. Step 4: Simplify right side
    307,804.72x = 49,916,945,121.85
  5. Step 5: Solve for x
    x = 49,916,945,121.85/307,804.72
  6. Step 6: Final answer
    x = 162,170.82

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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.