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Finding the Fourth Proportional to 235,074, 324,540.56 and 143,227.94

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Solution

The fourth proportional to 235,074, 324,540.56 and 143,227.94 is: 197,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,074 : 324,540.56 = 143,227.94 : x
  2. Step 2: Convert to fraction form
    235,074/324,540.56 = 143,227.94/x
  3. Step 3: Cross multiply
    235,074x = 324,540.56 × 143,227.94
  4. Step 4: Simplify right side
    235,074x = 46,483,275,855.25
  5. Step 5: Solve for x
    x = 46,483,275,855.25/235,074
  6. Step 6: Final answer
    x = 197,738.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.