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Finding the Fourth Proportional to 188,847.44, 283,319.76 and 55,722.32

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Solution

The fourth proportional to 188,847.44, 283,319.76 and 55,722.32 is: 83,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,847.44 : 283,319.76 = 55,722.32 : x
  2. Step 2: Convert to fraction form
    188,847.44/283,319.76 = 55,722.32/x
  3. Step 3: Cross multiply
    188,847.44x = 283,319.76 × 55,722.32
  4. Step 4: Simplify right side
    188,847.44x = 15,787,234,329.04
  5. Step 5: Solve for x
    x = 15,787,234,329.04/188,847.44
  6. Step 6: Final answer
    x = 83,597.82

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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.