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Finding the Fourth Proportional to 301,975.91, 416,725.56 and 166,018.44

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Solution

The fourth proportional to 301,975.91, 416,725.56 and 166,018.44 is: 229,104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,975.91 : 416,725.56 = 166,018.44 : x
  2. Step 2: Convert to fraction form
    301,975.91/416,725.56 = 166,018.44/x
  3. Step 3: Cross multiply
    301,975.91x = 416,725.56 × 166,018.44
  4. Step 4: Simplify right side
    301,975.91x = 69,184,127,379.33
  5. Step 5: Solve for x
    x = 69,184,127,379.33/301,975.91
  6. Step 6: Final answer
    x = 229,104.79

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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.