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Finding the Fourth Proportional to 166,000.70, 248,704.05 and 100,966.70

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Solution

The fourth proportional to 166,000.70, 248,704.05 and 100,966.70 is: 151,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,000.70 : 248,704.05 = 100,966.70 : x
  2. Step 2: Convert to fraction form
    166,000.70/248,704.05 = 100,966.70/x
  3. Step 3: Cross multiply
    166,000.70x = 248,704.05 × 100,966.70
  4. Step 4: Simplify right side
    166,000.70x = 25,110,827,205.14
  5. Step 5: Solve for x
    x = 25,110,827,205.14/166,000.70
  6. Step 6: Final answer
    x = 151,269.41

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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.