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Finding the Fourth Proportional to 188,838.80, 283,305.72 and 55,713.68

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Solution

The fourth proportional to 188,838.80, 283,305.72 and 55,713.68 is: 83,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,838.80 : 283,305.72 = 55,713.68 : x
  2. Step 2: Convert to fraction form
    188,838.80/283,305.72 = 55,713.68/x
  3. Step 3: Cross multiply
    188,838.80x = 283,305.72 × 55,713.68
  4. Step 4: Simplify right side
    188,838.80x = 15,784,004,226.25
  5. Step 5: Solve for x
    x = 15,784,004,226.25/188,838.80
  6. Step 6: Final answer
    x = 83,584.54

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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.