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Finding the Fourth Proportional to 200,626.96, 276,863.40 and 109,988.08

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Solution

The fourth proportional to 200,626.96, 276,863.40 and 109,988.08 is: 151,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,626.96 : 276,863.40 = 109,988.08 : x
  2. Step 2: Convert to fraction form
    200,626.96/276,863.40 = 109,988.08/x
  3. Step 3: Cross multiply
    200,626.96x = 276,863.40 × 109,988.08
  4. Step 4: Simplify right side
    200,626.96x = 30,451,673,788.27
  5. Step 5: Solve for x
    x = 30,451,673,788.27/200,626.96
  6. Step 6: Final answer
    x = 151,782.56

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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.