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Finding the Fourth Proportional to 120,229.15, 180,406.59 and 49,204.51

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Solution

The fourth proportional to 120,229.15, 180,406.59 and 49,204.51 is: 73,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,229.15 : 180,406.59 = 49,204.51 : x
  2. Step 2: Convert to fraction form
    120,229.15/180,406.59 = 49,204.51/x
  3. Step 3: Cross multiply
    120,229.15x = 180,406.59 × 49,204.51
  4. Step 4: Simplify right side
    120,229.15x = 8,876,817,861.72
  5. Step 5: Solve for x
    x = 8,876,817,861.72/120,229.15
  6. Step 6: Final answer
    x = 73,832.49

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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.