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Finding the Fourth Proportional to 200,523.25, 276,722.09 and 119,954.17

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Solution

The fourth proportional to 200,523.25, 276,722.09 and 119,954.17 is: 165,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,523.25 : 276,722.09 = 119,954.17 : x
  2. Step 2: Convert to fraction form
    200,523.25/276,722.09 = 119,954.17/x
  3. Step 3: Cross multiply
    200,523.25x = 276,722.09 × 119,954.17
  4. Step 4: Simplify right side
    200,523.25x = 33,193,968,626.62
  5. Step 5: Solve for x
    x = 33,193,968,626.62/200,523.25
  6. Step 6: Final answer
    x = 165,536.76

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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.