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Finding the Fourth Proportional to 202,786.56, 304,179.84 and 84,422.88

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Solution

The fourth proportional to 202,786.56, 304,179.84 and 84,422.88 is: 126,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,786.56 : 304,179.84 = 84,422.88 : x
  2. Step 2: Convert to fraction form
    202,786.56/304,179.84 = 84,422.88/x
  3. Step 3: Cross multiply
    202,786.56x = 304,179.84 × 84,422.88
  4. Step 4: Simplify right side
    202,786.56x = 25,679,738,130.74
  5. Step 5: Solve for x
    x = 25,679,738,130.74/202,786.56
  6. Step 6: Final answer
    x = 126,634.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.