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Finding the Fourth Proportional to 98,591.67, 135,769.77 and 85,664.88

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Solution

The fourth proportional to 98,591.67, 135,769.77 and 85,664.88 is: 117,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,591.67 : 135,769.77 = 85,664.88 : x
  2. Step 2: Convert to fraction form
    98,591.67/135,769.77 = 85,664.88/x
  3. Step 3: Cross multiply
    98,591.67x = 135,769.77 × 85,664.88
  4. Step 4: Simplify right side
    98,591.67x = 11,630,701,054.68
  5. Step 5: Solve for x
    x = 11,630,701,054.68/98,591.67
  6. Step 6: Final answer
    x = 117,968.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.