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Finding the Fourth Proportional to 120,372.57, 180,835.67 and 84,915.50

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Solution

The fourth proportional to 120,372.57, 180,835.67 and 84,915.50 is: 127,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,372.57 : 180,835.67 = 84,915.50 : x
  2. Step 2: Convert to fraction form
    120,372.57/180,835.67 = 84,915.50/x
  3. Step 3: Cross multiply
    120,372.57x = 180,835.67 × 84,915.50
  4. Step 4: Simplify right side
    120,372.57x = 15,355,750,644.00
  5. Step 5: Solve for x
    x = 15,355,750,644.00/120,372.57
  6. Step 6: Final answer
    x = 127,568.52

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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.