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Finding the Fourth Proportional to 200,677.68, 276,933.05 and 110,033.36

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Solution

The fourth proportional to 200,677.68, 276,933.05 and 110,033.36 is: 151,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,677.68 : 276,933.05 = 110,033.36 : x
  2. Step 2: Convert to fraction form
    200,677.68/276,933.05 = 110,033.36/x
  3. Step 3: Cross multiply
    200,677.68x = 276,933.05 × 110,033.36
  4. Step 4: Simplify right side
    200,677.68x = 30,471,874,591.18
  5. Step 5: Solve for x
    x = 30,471,874,591.18/200,677.68
  6. Step 6: Final answer
    x = 151,844.86

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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.