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Finding the Fourth Proportional to 307,189.56, 460,843.47 and 107,566.68

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Solution

The fourth proportional to 307,189.56, 460,843.47 and 107,566.68 is: 161,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,189.56 : 460,843.47 = 107,566.68 : x
  2. Step 2: Convert to fraction form
    307,189.56/460,843.47 = 107,566.68/x
  3. Step 3: Cross multiply
    307,189.56x = 460,843.47 × 107,566.68
  4. Step 4: Simplify right side
    307,189.56x = 49,571,402,067.58
  5. Step 5: Solve for x
    x = 49,571,402,067.58/307,189.56
  6. Step 6: Final answer
    x = 161,370.73

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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.