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Finding the Fourth Proportional to 200,062.65, 276,082.56 and 109,418.32

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Solution

The fourth proportional to 200,062.65, 276,082.56 and 109,418.32 is: 150,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,062.65 : 276,082.56 = 109,418.32 : x
  2. Step 2: Convert to fraction form
    200,062.65/276,082.56 = 109,418.32/x
  3. Step 3: Cross multiply
    200,062.65x = 276,082.56 × 109,418.32
  4. Step 4: Simplify right side
    200,062.65x = 30,208,489,896.50
  5. Step 5: Solve for x
    x = 30,208,489,896.50/200,062.65
  6. Step 6: Final answer
    x = 150,995.15

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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.