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Finding the Fourth Proportional to 201,085.30, 301,737.30 and 82,768.60

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Solution

The fourth proportional to 201,085.30, 301,737.30 and 82,768.60 is: 124,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,085.30 : 301,737.30 = 82,768.60 : x
  2. Step 2: Convert to fraction form
    201,085.30/301,737.30 = 82,768.60/x
  3. Step 3: Cross multiply
    201,085.30x = 301,737.30 × 82,768.60
  4. Step 4: Simplify right side
    201,085.30x = 24,974,373,888.78
  5. Step 5: Solve for x
    x = 24,974,373,888.78/201,085.30
  6. Step 6: Final answer
    x = 124,197.91

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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.