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Finding the Fourth Proportional to 149,296.25, 206,028.83 and 82,228.25

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Solution

The fourth proportional to 149,296.25, 206,028.83 and 82,228.25 is: 113,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,296.25 : 206,028.83 = 82,228.25 : x
  2. Step 2: Convert to fraction form
    149,296.25/206,028.83 = 82,228.25/x
  3. Step 3: Cross multiply
    149,296.25x = 206,028.83 × 82,228.25
  4. Step 4: Simplify right side
    149,296.25x = 16,941,390,140.45
  5. Step 5: Solve for x
    x = 16,941,390,140.45/149,296.25
  6. Step 6: Final answer
    x = 113,474.99

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1.5x scale

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.