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Finding the Fourth Proportional to 80,100.40, 120,153.12 and 27,509.20

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Solution

The fourth proportional to 80,100.40, 120,153.12 and 27,509.20 is: 41,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,100.40 : 120,153.12 = 27,509.20 : x
  2. Step 2: Convert to fraction form
    80,100.40/120,153.12 = 27,509.20/x
  3. Step 3: Cross multiply
    80,100.40x = 120,153.12 × 27,509.20
  4. Step 4: Simplify right side
    80,100.40x = 3,305,316,208.70
  5. Step 5: Solve for x
    x = 3,305,316,208.70/80,100.40
  6. Step 6: Final answer
    x = 41,264.67

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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.