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Finding the Fourth Proportional to 188,868.65, 283,236.96 and 55,713.56

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Solution

The fourth proportional to 188,868.65, 283,236.96 and 55,713.56 is: 83,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,868.65 : 283,236.96 = 55,713.56 : x
  2. Step 2: Convert to fraction form
    188,868.65/283,236.96 = 55,713.56/x
  3. Step 3: Cross multiply
    188,868.65x = 283,236.96 × 55,713.56
  4. Step 4: Simplify right side
    188,868.65x = 15,780,139,365.18
  5. Step 5: Solve for x
    x = 15,780,139,365.18/188,868.65
  6. Step 6: Final answer
    x = 83,550.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.