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Finding the Fourth Proportional to 137,221.63, 205,619.88 and 95,183.44

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Solution

The fourth proportional to 137,221.63, 205,619.88 and 95,183.44 is: 142,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,221.63 : 205,619.88 = 95,183.44 : x
  2. Step 2: Convert to fraction form
    137,221.63/205,619.88 = 95,183.44/x
  3. Step 3: Cross multiply
    137,221.63x = 205,619.88 × 95,183.44
  4. Step 4: Simplify right side
    137,221.63x = 19,571,607,510.79
  5. Step 5: Solve for x
    x = 19,571,607,510.79/137,221.63
  6. Step 6: Final answer
    x = 142,627.71

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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.