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Finding the Fourth Proportional to 188,993.25, 283,495.34 and 48,751.88

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Solution

The fourth proportional to 188,993.25, 283,495.34 and 48,751.88 is: 73,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,993.25 : 283,495.34 = 48,751.88 : x
  2. Step 2: Convert to fraction form
    188,993.25/283,495.34 = 48,751.88/x
  3. Step 3: Cross multiply
    188,993.25x = 283,495.34 × 48,751.88
  4. Step 4: Simplify right side
    188,993.25x = 13,820,929,500.64
  5. Step 5: Solve for x
    x = 13,820,929,500.64/188,993.25
  6. Step 6: Final answer
    x = 73,129.22

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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.