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Finding the Fourth Proportional to 302,048.25, 416,828.09 and 166,090.97

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Solution

The fourth proportional to 302,048.25, 416,828.09 and 166,090.97 is: 229,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,048.25 : 416,828.09 = 166,090.97 : x
  2. Step 2: Convert to fraction form
    302,048.25/416,828.09 = 166,090.97/x
  3. Step 3: Cross multiply
    302,048.25x = 416,828.09 × 166,090.97
  4. Step 4: Simplify right side
    302,048.25x = 69,231,381,791.35
  5. Step 5: Solve for x
    x = 69,231,381,791.35/302,048.25
  6. Step 6: Final answer
    x = 229,206.37

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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.