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Finding the Fourth Proportional to 200,198.70, 276,255.40 and 135,536.40

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Solution

The fourth proportional to 200,198.70, 276,255.40 and 135,536.40 is: 187,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,198.70 : 276,255.40 = 135,536.40 : x
  2. Step 2: Convert to fraction form
    200,198.70/276,255.40 = 135,536.40/x
  3. Step 3: Cross multiply
    200,198.70x = 276,255.40 × 135,536.40
  4. Step 4: Simplify right side
    200,198.70x = 37,442,663,087.20
  5. Step 5: Solve for x
    x = 37,442,663,087.20/200,198.70
  6. Step 6: Final answer
    x = 187,027.50

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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.