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Finding the Fourth Proportional to 302,204.09, 417,048.68 and 166,245.59

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Solution

The fourth proportional to 302,204.09, 417,048.68 and 166,245.59 is: 229,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,204.09 : 417,048.68 = 166,245.59 : x
  2. Step 2: Convert to fraction form
    302,204.09/417,048.68 = 166,245.59/x
  3. Step 3: Cross multiply
    302,204.09x = 417,048.68 × 166,245.59
  4. Step 4: Simplify right side
    302,204.09x = 69,332,503,865.32
  5. Step 5: Solve for x
    x = 69,332,503,865.32/302,204.09
  6. Step 6: Final answer
    x = 229,422.78

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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.