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Finding the Fourth Proportional to 149,329, 206,074.02 and 82,265.32

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Solution

The fourth proportional to 149,329, 206,074.02 and 82,265.32 is: 113,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,329 : 206,074.02 = 82,265.32 : x
  2. Step 2: Convert to fraction form
    149,329/206,074.02 = 82,265.32/x
  3. Step 3: Cross multiply
    149,329x = 206,074.02 × 82,265.32
  4. Step 4: Simplify right side
    149,329x = 16,952,745,198.99
  5. Step 5: Solve for x
    x = 16,952,745,198.99/149,329
  6. Step 6: Final answer
    x = 113,526.14

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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.