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Finding the Fourth Proportional to 120,411.33, 180,624.69 and 40,446.06

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Solution

The fourth proportional to 120,411.33, 180,624.69 and 40,446.06 is: 60,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,411.33 : 180,624.69 = 40,446.06 : x
  2. Step 2: Convert to fraction form
    120,411.33/180,624.69 = 40,446.06/x
  3. Step 3: Cross multiply
    120,411.33x = 180,624.69 × 40,446.06
  4. Step 4: Simplify right side
    120,411.33x = 7,305,557,049.22
  5. Step 5: Solve for x
    x = 7,305,557,049.22/120,411.33
  6. Step 6: Final answer
    x = 60,671.67

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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.