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Finding the Fourth Proportional to 301,078.48, 415,469.64 and 166,942.48

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Solution

The fourth proportional to 301,078.48, 415,469.64 and 166,942.48 is: 230,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,078.48 : 415,469.64 = 166,942.48 : x
  2. Step 2: Convert to fraction form
    301,078.48/415,469.64 = 166,942.48/x
  3. Step 3: Cross multiply
    301,078.48x = 415,469.64 × 166,942.48
  4. Step 4: Simplify right side
    301,078.48x = 69,359,532,066.31
  5. Step 5: Solve for x
    x = 69,359,532,066.31/301,078.48
  6. Step 6: Final answer
    x = 230,370.27

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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.