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Finding the Fourth Proportional to 180,124, 270,186 and 48,796

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Solution

The fourth proportional to 180,124, 270,186 and 48,796 is: 73,194

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,124 : 270,186 = 48,796 : x
  2. Step 2: Convert to fraction form
    180,124/270,186 = 48,796/x
  3. Step 3: Cross multiply
    180,124x = 270,186 × 48,796
  4. Step 4: Simplify right side
    180,124x = 13,183,996,056
  5. Step 5: Solve for x
    x = 13,183,996,056/180,124
  6. Step 6: Final answer
    x = 73,194

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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.