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Finding the Fourth Proportional to 120,903.20, 181,527.60 and 68,415.20

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Solution

The fourth proportional to 120,903.20, 181,527.60 and 68,415.20 is: 102,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,903.20 : 181,527.60 = 68,415.20 : x
  2. Step 2: Convert to fraction form
    120,903.20/181,527.60 = 68,415.20/x
  3. Step 3: Cross multiply
    120,903.20x = 181,527.60 × 68,415.20
  4. Step 4: Simplify right side
    120,903.20x = 12,419,247,059.52
  5. Step 5: Solve for x
    x = 12,419,247,059.52/120,903.20
  6. Step 6: Final answer
    x = 102,720.58

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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.