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Finding the Fourth Proportional to 273,208.23, 377,054.24 and 165,769.83

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Solution

The fourth proportional to 273,208.23, 377,054.24 and 165,769.83 is: 228,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,208.23 : 377,054.24 = 165,769.83 : x
  2. Step 2: Convert to fraction form
    273,208.23/377,054.24 = 165,769.83/x
  3. Step 3: Cross multiply
    273,208.23x = 377,054.24 × 165,769.83
  4. Step 4: Simplify right side
    273,208.23x = 62,504,216,436.73
  5. Step 5: Solve for x
    x = 62,504,216,436.73/273,208.23
  6. Step 6: Final answer
    x = 228,778.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.