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Finding the Fourth Proportional to 118,945.94, 164,133.86 and 71,198.24

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Solution

The fourth proportional to 118,945.94, 164,133.86 and 71,198.24 is: 98,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,945.94 : 164,133.86 = 71,198.24 : x
  2. Step 2: Convert to fraction form
    118,945.94/164,133.86 = 71,198.24/x
  3. Step 3: Cross multiply
    118,945.94x = 164,133.86 × 71,198.24
  4. Step 4: Simplify right side
    118,945.94x = 11,686,040,779.75
  5. Step 5: Solve for x
    x = 11,686,040,779.75/118,945.94
  6. Step 6: Final answer
    x = 98,246.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.