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Finding the Fourth Proportional to 111,271.50, 166,972.86 and 41,200.02

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Solution

The fourth proportional to 111,271.50, 166,972.86 and 41,200.02 is: 61,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,271.50 : 166,972.86 = 41,200.02 : x
  2. Step 2: Convert to fraction form
    111,271.50/166,972.86 = 41,200.02/x
  3. Step 3: Cross multiply
    111,271.50x = 166,972.86 × 41,200.02
  4. Step 4: Simplify right side
    111,271.50x = 6,879,285,171.46
  5. Step 5: Solve for x
    x = 6,879,285,171.46/111,271.50
  6. Step 6: Final answer
    x = 61,824.32

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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.