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Finding the Fourth Proportional to 302,029.38, 416,791.73 and 166,063.19

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Solution

The fourth proportional to 302,029.38, 416,791.73 and 166,063.19 is: 229,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,029.38 : 416,791.73 = 166,063.19 : x
  2. Step 2: Convert to fraction form
    302,029.38/416,791.73 = 166,063.19/x
  3. Step 3: Cross multiply
    302,029.38x = 416,791.73 × 166,063.19
  4. Step 4: Simplify right side
    302,029.38x = 69,213,761,335.14
  5. Step 5: Solve for x
    x = 69,213,761,335.14/302,029.38
  6. Step 6: Final answer
    x = 229,162.35

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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.