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Finding the Fourth Proportional to 200,082.68, 276,112.09 and 109,440.42

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Solution

The fourth proportional to 200,082.68, 276,112.09 and 109,440.42 is: 151,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082.68 : 276,112.09 = 109,440.42 : x
  2. Step 2: Convert to fraction form
    200,082.68/276,112.09 = 109,440.42/x
  3. Step 3: Cross multiply
    200,082.68x = 276,112.09 × 109,440.42
  4. Step 4: Simplify right side
    200,082.68x = 30,217,822,198.06
  5. Step 5: Solve for x
    x = 30,217,822,198.06/200,082.68
  6. Step 6: Final answer
    x = 151,026.68

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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.