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Finding the Fourth Proportional to 166,871.44, 250,206.25 and 65,548.20

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Solution

The fourth proportional to 166,871.44, 250,206.25 and 65,548.20 is: 98,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,871.44 : 250,206.25 = 65,548.20 : x
  2. Step 2: Convert to fraction form
    166,871.44/250,206.25 = 65,548.20/x
  3. Step 3: Cross multiply
    166,871.44x = 250,206.25 × 65,548.20
  4. Step 4: Simplify right side
    166,871.44x = 16,400,570,213.56
  5. Step 5: Solve for x
    x = 16,400,570,213.56/166,871.44
  6. Step 6: Final answer
    x = 98,282.67

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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.