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Finding the Fourth Proportional to 200,631.21, 300,859.32 and 75,884.73

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Solution

The fourth proportional to 200,631.21, 300,859.32 and 75,884.73 is: 113,794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,631.21 : 300,859.32 = 75,884.73 : x
  2. Step 2: Convert to fraction form
    200,631.21/300,859.32 = 75,884.73/x
  3. Step 3: Cross multiply
    200,631.21x = 300,859.32 × 75,884.73
  4. Step 4: Simplify right side
    200,631.21x = 22,830,628,266.18
  5. Step 5: Solve for x
    x = 22,830,628,266.18/200,631.21
  6. Step 6: Final answer
    x = 113,794.00

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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.