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Finding the Fourth Proportional to 302,614.26, 417,604.20 and 166,645.50

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Solution

The fourth proportional to 302,614.26, 417,604.20 and 166,645.50 is: 229,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,614.26 : 417,604.20 = 166,645.50 : x
  2. Step 2: Convert to fraction form
    302,614.26/417,604.20 = 166,645.50/x
  3. Step 3: Cross multiply
    302,614.26x = 417,604.20 × 166,645.50
  4. Step 4: Simplify right side
    302,614.26x = 69,591,860,711.10
  5. Step 5: Solve for x
    x = 69,591,860,711.10/302,614.26
  6. Step 6: Final answer
    x = 229,968.87

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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.