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Finding the Fourth Proportional to 200,250, 276,345.81 and 110,826

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Solution

The fourth proportional to 200,250, 276,345.81 and 110,826 is: 152,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,250 : 276,345.81 = 110,826 : x
  2. Step 2: Convert to fraction form
    200,250/276,345.81 = 110,826/x
  3. Step 3: Cross multiply
    200,250x = 276,345.81 × 110,826
  4. Step 4: Simplify right side
    200,250x = 30,626,300,739.06
  5. Step 5: Solve for x
    x = 30,626,300,739.06/200,250
  6. Step 6: Final answer
    x = 152,940.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.