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Finding the Fourth Proportional to 180,639, 270,958.68 and 75,400.56

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Solution

The fourth proportional to 180,639, 270,958.68 and 75,400.56 is: 113,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,639 : 270,958.68 = 75,400.56 : x
  2. Step 2: Convert to fraction form
    180,639/270,958.68 = 75,400.56/x
  3. Step 3: Cross multiply
    180,639x = 270,958.68 × 75,400.56
  4. Step 4: Simplify right side
    180,639x = 20,430,436,208.86
  5. Step 5: Solve for x
    x = 20,430,436,208.86/180,639
  6. Step 6: Final answer
    x = 113,100.92

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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.