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Finding the Fourth Proportional to 200,388.57, 300,582.84 and 50,629.29

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Solution

The fourth proportional to 200,388.57, 300,582.84 and 50,629.29 is: 75,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,388.57 : 300,582.84 = 50,629.29 : x
  2. Step 2: Convert to fraction form
    200,388.57/300,582.84 = 50,629.29/x
  3. Step 3: Cross multiply
    200,388.57x = 300,582.84 × 50,629.29
  4. Step 4: Simplify right side
    200,388.57x = 15,218,295,775.38
  5. Step 5: Solve for x
    x = 15,218,295,775.38/200,388.57
  6. Step 6: Final answer
    x = 75,943.93

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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.