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Finding the Fourth Proportional to 301,101.33, 415,519.83 and 166,965.33

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Solution

The fourth proportional to 301,101.33, 415,519.83 and 166,965.33 is: 230,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101.33 : 415,519.83 = 166,965.33 : x
  2. Step 2: Convert to fraction form
    301,101.33/415,519.83 = 166,965.33/x
  3. Step 3: Cross multiply
    301,101.33x = 415,519.83 × 166,965.33
  4. Step 4: Simplify right side
    301,101.33x = 69,377,407,095.69
  5. Step 5: Solve for x
    x = 69,377,407,095.69/301,101.33
  6. Step 6: Final answer
    x = 230,412.15

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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.