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Finding the Fourth Proportional to 201,321.09, 301,760.20 and 82,927.84

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Solution

The fourth proportional to 201,321.09, 301,760.20 and 82,927.84 is: 124,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,321.09 : 301,760.20 = 82,927.84 : x
  2. Step 2: Convert to fraction form
    201,321.09/301,760.20 = 82,927.84/x
  3. Step 3: Cross multiply
    201,321.09x = 301,760.20 × 82,927.84
  4. Step 4: Simplify right side
    201,321.09x = 25,024,321,583.97
  5. Step 5: Solve for x
    x = 25,024,321,583.97/201,321.09
  6. Step 6: Final answer
    x = 124,300.55

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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.