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Finding the Fourth Proportional to 302,891.76, 417,993.49 and 166,930.61

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Solution

The fourth proportional to 302,891.76, 417,993.49 and 166,930.61 is: 230,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,891.76 : 417,993.49 = 166,930.61 : x
  2. Step 2: Convert to fraction form
    302,891.76/417,993.49 = 166,930.61/x
  3. Step 3: Cross multiply
    302,891.76x = 417,993.49 × 166,930.61
  4. Step 4: Simplify right side
    302,891.76x = 69,775,907,427.08
  5. Step 5: Solve for x
    x = 69,775,907,427.08/302,891.76
  6. Step 6: Final answer
    x = 230,365.82

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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.