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Finding the Fourth Proportional to 189,444.15, 284,163.75 and 54,511.74

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Solution

The fourth proportional to 189,444.15, 284,163.75 and 54,511.74 is: 81,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,444.15 : 284,163.75 = 54,511.74 : x
  2. Step 2: Convert to fraction form
    189,444.15/284,163.75 = 54,511.74/x
  3. Step 3: Cross multiply
    189,444.15x = 284,163.75 × 54,511.74
  4. Step 4: Simplify right side
    189,444.15x = 15,490,260,457.43
  5. Step 5: Solve for x
    x = 15,490,260,457.43/189,444.15
  6. Step 6: Final answer
    x = 81,766.90

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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.