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Finding the Fourth Proportional to 180,482.58, 270,990 and 100,676.48

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Solution

The fourth proportional to 180,482.58, 270,990 and 100,676.48 is: 151,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,482.58 : 270,990 = 100,676.48 : x
  2. Step 2: Convert to fraction form
    180,482.58/270,990 = 100,676.48/x
  3. Step 3: Cross multiply
    180,482.58x = 270,990 × 100,676.48
  4. Step 4: Simplify right side
    180,482.58x = 27,282,317,960.25
  5. Step 5: Solve for x
    x = 27,282,317,960.25/180,482.58
  6. Step 6: Final answer
    x = 151,163.16

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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.