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Finding the Fourth Proportional to 301,105.69, 415,525.85 and 166,969.69

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Solution

The fourth proportional to 301,105.69, 415,525.85 and 166,969.69 is: 230,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,105.69 : 415,525.85 = 166,969.69 : x
  2. Step 2: Convert to fraction form
    301,105.69/415,525.85 = 166,969.69/x
  3. Step 3: Cross multiply
    301,105.69x = 415,525.85 × 166,969.69
  4. Step 4: Simplify right side
    301,105.69x = 69,380,221,113.96
  5. Step 5: Solve for x
    x = 69,380,221,113.96/301,105.69
  6. Step 6: Final answer
    x = 230,418.17

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