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Finding the Fourth Proportional to 189,047.50, 283,614.99 and 110,228.02

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Solution

The fourth proportional to 189,047.50, 283,614.99 and 110,228.02 is: 165,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,047.50 : 283,614.99 = 110,228.02 : x
  2. Step 2: Convert to fraction form
    189,047.50/283,614.99 = 110,228.02/x
  3. Step 3: Cross multiply
    189,047.50x = 283,614.99 × 110,228.02
  4. Step 4: Simplify right side
    189,047.50x = 31,262,318,790.02
  5. Step 5: Solve for x
    x = 31,262,318,790.02/189,047.50
  6. Step 6: Final answer
    x = 165,367.53

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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.