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Finding the Fourth Proportional to 149,458, 206,256.36 and 82,394.32

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Solution

The fourth proportional to 149,458, 206,256.36 and 82,394.32 is: 113,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,458 : 206,256.36 = 82,394.32 : x
  2. Step 2: Convert to fraction form
    149,458/206,256.36 = 82,394.32/x
  3. Step 3: Cross multiply
    149,458x = 206,256.36 × 82,394.32
  4. Step 4: Simplify right side
    149,458x = 16,994,352,527.88
  5. Step 5: Solve for x
    x = 16,994,352,527.88/149,458
  6. Step 6: Final answer
    x = 113,706.54

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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.