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Finding the Fourth Proportional to 133,015.40, 199,532.70 and 80,311.40

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Solution

The fourth proportional to 133,015.40, 199,532.70 and 80,311.40 is: 120,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,015.40 : 199,532.70 = 80,311.40 : x
  2. Step 2: Convert to fraction form
    133,015.40/199,532.70 = 80,311.40/x
  3. Step 3: Cross multiply
    133,015.40x = 199,532.70 × 80,311.40
  4. Step 4: Simplify right side
    133,015.40x = 16,024,750,482.78
  5. Step 5: Solve for x
    x = 16,024,750,482.78/133,015.40
  6. Step 6: Final answer
    x = 120,472.90

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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.