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Finding the Fourth Proportional to 223,692.54, 335,296.29 and 111,456.54

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Solution

The fourth proportional to 223,692.54, 335,296.29 and 111,456.54 is: 167,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,692.54 : 335,296.29 = 111,456.54 : x
  2. Step 2: Convert to fraction form
    223,692.54/335,296.29 = 111,456.54/x
  3. Step 3: Cross multiply
    223,692.54x = 335,296.29 × 111,456.54
  4. Step 4: Simplify right side
    223,692.54x = 37,370,964,358.24
  5. Step 5: Solve for x
    x = 37,370,964,358.24/223,692.54
  6. Step 6: Final answer
    x = 167,063.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.