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Finding the Fourth Proportional to 180,964.86, 271,403.55 and 75,862.50

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Solution

The fourth proportional to 180,964.86, 271,403.55 and 75,862.50 is: 113,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,964.86 : 271,403.55 = 75,862.50 : x
  2. Step 2: Convert to fraction form
    180,964.86/271,403.55 = 75,862.50/x
  3. Step 3: Cross multiply
    180,964.86x = 271,403.55 × 75,862.50
  4. Step 4: Simplify right side
    180,964.86x = 20,589,351,811.88
  5. Step 5: Solve for x
    x = 20,589,351,811.88/180,964.86
  6. Step 6: Final answer
    x = 113,775.41

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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.