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Finding the Fourth Proportional to 193,696.84, 290,282.82 and 100,268.20

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Solution

The fourth proportional to 193,696.84, 290,282.82 and 100,268.20 is: 150,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,696.84 : 290,282.82 = 100,268.20 : x
  2. Step 2: Convert to fraction form
    193,696.84/290,282.82 = 100,268.20/x
  3. Step 3: Cross multiply
    193,696.84x = 290,282.82 × 100,268.20
  4. Step 4: Simplify right side
    193,696.84x = 29,106,135,852.32
  5. Step 5: Solve for x
    x = 29,106,135,852.32/193,696.84
  6. Step 6: Final answer
    x = 150,266.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.