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Finding the Fourth Proportional to 133,626.80, 200,116.20 and 71,159.60

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Solution

The fourth proportional to 133,626.80, 200,116.20 and 71,159.60 is: 106,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,626.80 : 200,116.20 = 71,159.60 : x
  2. Step 2: Convert to fraction form
    133,626.80/200,116.20 = 71,159.60/x
  3. Step 3: Cross multiply
    133,626.80x = 200,116.20 × 71,159.60
  4. Step 4: Simplify right side
    133,626.80x = 14,240,188,745.52
  5. Step 5: Solve for x
    x = 14,240,188,745.52/133,626.80
  6. Step 6: Final answer
    x = 106,566.86

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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.