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Finding the Fourth Proportional to 200,255, 276,352.72 and 110,831

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Solution

The fourth proportional to 200,255, 276,352.72 and 110,831 is: 152,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,255 : 276,352.72 = 110,831 : x
  2. Step 2: Convert to fraction form
    200,255/276,352.72 = 110,831/x
  3. Step 3: Cross multiply
    200,255x = 276,352.72 × 110,831
  4. Step 4: Simplify right side
    200,255x = 30,628,448,310.32
  5. Step 5: Solve for x
    x = 30,628,448,310.32/200,255
  6. Step 6: Final answer
    x = 152,947.23

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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.