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Finding the Fourth Proportional to 154,493.82, 231,682.41 and 71,329.50

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Solution

The fourth proportional to 154,493.82, 231,682.41 and 71,329.50 is: 106,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,493.82 : 231,682.41 = 71,329.50 : x
  2. Step 2: Convert to fraction form
    154,493.82/231,682.41 = 71,329.50/x
  3. Step 3: Cross multiply
    154,493.82x = 231,682.41 × 71,329.50
  4. Step 4: Simplify right side
    154,493.82x = 16,525,790,464.10
  5. Step 5: Solve for x
    x = 16,525,790,464.10/154,493.82
  6. Step 6: Final answer
    x = 106,967.32

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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.