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Finding the Fourth Proportional to 302,723.63, 417,791.42 and 166,771.51

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Solution

The fourth proportional to 302,723.63, 417,791.42 and 166,771.51 is: 230,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,723.63 : 417,791.42 = 166,771.51 : x
  2. Step 2: Convert to fraction form
    302,723.63/417,791.42 = 166,771.51/x
  3. Step 3: Cross multiply
    302,723.63x = 417,791.42 × 166,771.51
  4. Step 4: Simplify right side
    302,723.63x = 69,675,704,725.50
  5. Step 5: Solve for x
    x = 69,675,704,725.50/302,723.63
  6. Step 6: Final answer
    x = 230,162.76

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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.