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Finding the Fourth Proportional to 120,677.76, 180,978.24 and 50,544

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Solution

The fourth proportional to 120,677.76, 180,978.24 and 50,544 is: 75,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,677.76 : 180,978.24 = 50,544 : x
  2. Step 2: Convert to fraction form
    120,677.76/180,978.24 = 50,544/x
  3. Step 3: Cross multiply
    120,677.76x = 180,978.24 × 50,544
  4. Step 4: Simplify right side
    120,677.76x = 9,147,364,162.56
  5. Step 5: Solve for x
    x = 9,147,364,162.56/120,677.76
  6. Step 6: Final answer
    x = 75,799.92

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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.