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Finding the Fourth Proportional to 189,243.10, 283,858.50 and 76,890.10

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Solution

The fourth proportional to 189,243.10, 283,858.50 and 76,890.10 is: 115,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,243.10 : 283,858.50 = 76,890.10 : x
  2. Step 2: Convert to fraction form
    189,243.10/283,858.50 = 76,890.10/x
  3. Step 3: Cross multiply
    189,243.10x = 283,858.50 × 76,890.10
  4. Step 4: Simplify right side
    189,243.10x = 21,825,908,450.85
  5. Step 5: Solve for x
    x = 21,825,908,450.85/189,243.10
  6. Step 6: Final answer
    x = 115,332.65

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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.