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Finding the Fourth Proportional to 201,321.84, 301,761.32 and 82,928.60

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Solution

The fourth proportional to 201,321.84, 301,761.32 and 82,928.60 is: 124,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,321.84 : 301,761.32 = 82,928.60 : x
  2. Step 2: Convert to fraction form
    201,321.84/301,761.32 = 82,928.60/x
  3. Step 3: Cross multiply
    201,321.84x = 301,761.32 × 82,928.60
  4. Step 4: Simplify right side
    201,321.84x = 25,024,643,801.75
  5. Step 5: Solve for x
    x = 25,024,643,801.75/201,321.84
  6. Step 6: Final answer
    x = 124,301.68

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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.