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Finding the Fourth Proportional to 120,446.72, 180,636.96 and 50,314.40

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Solution

The fourth proportional to 120,446.72, 180,636.96 and 50,314.40 is: 75,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,446.72 : 180,636.96 = 50,314.40 : x
  2. Step 2: Convert to fraction form
    120,446.72/180,636.96 = 50,314.40/x
  3. Step 3: Cross multiply
    120,446.72x = 180,636.96 × 50,314.40
  4. Step 4: Simplify right side
    120,446.72x = 9,088,640,260.22
  5. Step 5: Solve for x
    x = 9,088,640,260.22/120,446.72
  6. Step 6: Final answer
    x = 75,457.76

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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.