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Finding the Fourth Proportional to 111,942.34, 167,807.95 and 55,729.28

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Solution

The fourth proportional to 111,942.34, 167,807.95 and 55,729.28 is: 83,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,942.34 : 167,807.95 = 55,729.28 : x
  2. Step 2: Convert to fraction form
    111,942.34/167,807.95 = 55,729.28/x
  3. Step 3: Cross multiply
    111,942.34x = 167,807.95 × 55,729.28
  4. Step 4: Simplify right side
    111,942.34x = 9,351,816,231.78
  5. Step 5: Solve for x
    x = 9,351,816,231.78/111,942.34
  6. Step 6: Final answer
    x = 83,541.37

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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.