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Finding the Fourth Proportional to 111,409.97, 167,142.63 and 55,276.43

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Solution

The fourth proportional to 111,409.97, 167,142.63 and 55,276.43 is: 82,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,409.97 : 167,142.63 = 55,276.43 : x
  2. Step 2: Convert to fraction form
    111,409.97/167,142.63 = 55,276.43/x
  3. Step 3: Cross multiply
    111,409.97x = 167,142.63 × 55,276.43
  4. Step 4: Simplify right side
    111,409.97x = 9,239,047,887.21
  5. Step 5: Solve for x
    x = 9,239,047,887.21/111,409.97
  6. Step 6: Final answer
    x = 82,928.38

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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.