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Finding the Fourth Proportional to 111,105.64, 166,658.43 and 27,999.64

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Solution

The fourth proportional to 111,105.64, 166,658.43 and 27,999.64 is: 41,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,105.64 : 166,658.43 = 27,999.64 : x
  2. Step 2: Convert to fraction form
    111,105.64/166,658.43 = 27,999.64/x
  3. Step 3: Cross multiply
    111,105.64x = 166,658.43 × 27,999.64
  4. Step 4: Simplify right side
    111,105.64x = 4,666,376,042.97
  5. Step 5: Solve for x
    x = 4,666,376,042.97/111,105.64
  6. Step 6: Final answer
    x = 41,999.45

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1.5x scale

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.