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Finding the Fourth Proportional to 149,352.57, 206,106.44 and 82,284.57

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Solution

The fourth proportional to 149,352.57, 206,106.44 and 82,284.57 is: 113,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,352.57 : 206,106.44 = 82,284.57 : x
  2. Step 2: Convert to fraction form
    149,352.57/206,106.44 = 82,284.57/x
  3. Step 3: Cross multiply
    149,352.57x = 206,106.44 × 82,284.57
  4. Step 4: Simplify right side
    149,352.57x = 16,959,379,378.21
  5. Step 5: Solve for x
    x = 16,959,379,378.21/149,352.57
  6. Step 6: Final answer
    x = 113,552.65

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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.