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Finding the Fourth Proportional to 229,067.32, 343,633.38 and 71,311.72

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Solution

The fourth proportional to 229,067.32, 343,633.38 and 71,311.72 is: 106,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,067.32 : 343,633.38 = 71,311.72 : x
  2. Step 2: Convert to fraction form
    229,067.32/343,633.38 = 71,311.72/x
  3. Step 3: Cross multiply
    229,067.32x = 343,633.38 × 71,311.72
  4. Step 4: Simplify right side
    229,067.32x = 24,505,087,377.21
  5. Step 5: Solve for x
    x = 24,505,087,377.21/229,067.32
  6. Step 6: Final answer
    x = 106,977.67

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