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Finding the Fourth Proportional to 206,187.90, 309,400.74 and 111,418.26

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Solution

The fourth proportional to 206,187.90, 309,400.74 and 111,418.26 is: 167,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,187.90 : 309,400.74 = 111,418.26 : x
  2. Step 2: Convert to fraction form
    206,187.90/309,400.74 = 111,418.26/x
  3. Step 3: Cross multiply
    206,187.90x = 309,400.74 × 111,418.26
  4. Step 4: Simplify right side
    206,187.90x = 34,472,892,093.51
  5. Step 5: Solve for x
    x = 34,472,892,093.51/206,187.90
  6. Step 6: Final answer
    x = 167,191.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.