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Finding the Fourth Proportional to 200,816.64, 301,258.08 and 82,456.56

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Solution

The fourth proportional to 200,816.64, 301,258.08 and 82,456.56 is: 123,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,816.64 : 301,258.08 = 82,456.56 : x
  2. Step 2: Convert to fraction form
    200,816.64/301,258.08 = 82,456.56/x
  3. Step 3: Cross multiply
    200,816.64x = 301,258.08 × 82,456.56
  4. Step 4: Simplify right side
    200,816.64x = 24,840,704,949.00
  5. Step 5: Solve for x
    x = 24,840,704,949.00/200,816.64
  6. Step 6: Final answer
    x = 123,698.44

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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.