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Finding the Fourth Proportional to 200,873.58, 301,433.37 and 80,908.53

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Solution

The fourth proportional to 200,873.58, 301,433.37 and 80,908.53 is: 121,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,873.58 : 301,433.37 = 80,908.53 : x
  2. Step 2: Convert to fraction form
    200,873.58/301,433.37 = 80,908.53/x
  3. Step 3: Cross multiply
    200,873.58x = 301,433.37 × 80,908.53
  4. Step 4: Simplify right side
    200,873.58x = 24,388,530,859.65
  5. Step 5: Solve for x
    x = 24,388,530,859.65/200,873.58
  6. Step 6: Final answer
    x = 121,412.34

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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.