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Finding the Fourth Proportional to 135,846.30, 203,769.45 and 85,326.60

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Solution

The fourth proportional to 135,846.30, 203,769.45 and 85,326.60 is: 127,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,846.30 : 203,769.45 = 85,326.60 : x
  2. Step 2: Convert to fraction form
    135,846.30/203,769.45 = 85,326.60/x
  3. Step 3: Cross multiply
    135,846.30x = 203,769.45 × 85,326.60
  4. Step 4: Simplify right side
    135,846.30x = 17,386,954,352.37
  5. Step 5: Solve for x
    x = 17,386,954,352.37/135,846.30
  6. Step 6: Final answer
    x = 127,989.90

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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.