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Finding the Fourth Proportional to 200,980.64, 301,367.28 and 82,629.92

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Solution

The fourth proportional to 200,980.64, 301,367.28 and 82,629.92 is: 123,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,980.64 : 301,367.28 = 82,629.92 : x
  2. Step 2: Convert to fraction form
    200,980.64/301,367.28 = 82,629.92/x
  3. Step 3: Cross multiply
    200,980.64x = 301,367.28 × 82,629.92
  4. Step 4: Simplify right side
    200,980.64x = 24,901,954,237.02
  5. Step 5: Solve for x
    x = 24,901,954,237.02/200,980.64
  6. Step 6: Final answer
    x = 123,902.25

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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.