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Finding the Fourth Proportional to 166,002.20, 248,706.30 and 100,968.20

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Solution

The fourth proportional to 166,002.20, 248,706.30 and 100,968.20 is: 151,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,002.20 : 248,706.30 = 100,968.20 : x
  2. Step 2: Convert to fraction form
    166,002.20/248,706.30 = 100,968.20/x
  3. Step 3: Cross multiply
    166,002.20x = 248,706.30 × 100,968.20
  4. Step 4: Simplify right side
    166,002.20x = 25,111,427,439.66
  5. Step 5: Solve for x
    x = 25,111,427,439.66/166,002.20
  6. Step 6: Final answer
    x = 151,271.65

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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.