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Finding the Fourth Proportional to 137,219.63, 205,616.88 and 95,181.44

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Solution

The fourth proportional to 137,219.63, 205,616.88 and 95,181.44 is: 142,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,219.63 : 205,616.88 = 95,181.44 : x
  2. Step 2: Convert to fraction form
    137,219.63/205,616.88 = 95,181.44/x
  3. Step 3: Cross multiply
    137,219.63x = 205,616.88 × 95,181.44
  4. Step 4: Simplify right side
    137,219.63x = 19,570,909,698.62
  5. Step 5: Solve for x
    x = 19,570,909,698.62/137,219.63
  6. Step 6: Final answer
    x = 142,624.71

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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.