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Finding the Fourth Proportional to 201,321.36, 301,760.60 and 82,928.12

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Solution

The fourth proportional to 201,321.36, 301,760.60 and 82,928.12 is: 124,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,321.36 : 301,760.60 = 82,928.12 : x
  2. Step 2: Convert to fraction form
    201,321.36/301,760.60 = 82,928.12/x
  3. Step 3: Cross multiply
    201,321.36x = 301,760.60 × 82,928.12
  4. Step 4: Simplify right side
    201,321.36x = 25,024,437,324.63
  5. Step 5: Solve for x
    x = 25,024,437,324.63/201,321.36
  6. Step 6: Final answer
    x = 124,300.96

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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.