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Finding the Fourth Proportional to 111,164.30, 166,768.05 and 47,984.30

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Solution

The fourth proportional to 111,164.30, 166,768.05 and 47,984.30 is: 71,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,164.30 : 166,768.05 = 47,984.30 : x
  2. Step 2: Convert to fraction form
    111,164.30/166,768.05 = 47,984.30/x
  3. Step 3: Cross multiply
    111,164.30x = 166,768.05 × 47,984.30
  4. Step 4: Simplify right side
    111,164.30x = 8,002,248,141.62
  5. Step 5: Solve for x
    x = 8,002,248,141.62/111,164.30
  6. Step 6: Final answer
    x = 71,985.77

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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.