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Finding the Fourth Proportional to 149,278.44, 206,004.25 and 82,210.44

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Solution

The fourth proportional to 149,278.44, 206,004.25 and 82,210.44 is: 113,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,278.44 : 206,004.25 = 82,210.44 : x
  2. Step 2: Convert to fraction form
    149,278.44/206,004.25 = 82,210.44/x
  3. Step 3: Cross multiply
    149,278.44x = 206,004.25 × 82,210.44
  4. Step 4: Simplify right side
    149,278.44x = 16,935,699,623.32
  5. Step 5: Solve for x
    x = 16,935,699,623.32/149,278.44
  6. Step 6: Final answer
    x = 113,450.41

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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.