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Finding the Fourth Proportional to 302,883.63, 417,982.24 and 166,922.54

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Solution

The fourth proportional to 302,883.63, 417,982.24 and 166,922.54 is: 230,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,883.63 : 417,982.24 = 166,922.54 : x
  2. Step 2: Convert to fraction form
    302,883.63/417,982.24 = 166,922.54/x
  3. Step 3: Cross multiply
    302,883.63x = 417,982.24 × 166,922.54
  4. Step 4: Simplify right side
    302,883.63x = 69,770,657,803.34
  5. Step 5: Solve for x
    x = 69,770,657,803.34/302,883.63
  6. Step 6: Final answer
    x = 230,354.67

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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.