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Finding the Fourth Proportional to 141,169.38, 194,814.08 and 77,511.26

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Solution

The fourth proportional to 141,169.38, 194,814.08 and 77,511.26 is: 106,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,169.38 : 194,814.08 = 77,511.26 : x
  2. Step 2: Convert to fraction form
    141,169.38/194,814.08 = 77,511.26/x
  3. Step 3: Cross multiply
    141,169.38x = 194,814.08 × 77,511.26
  4. Step 4: Simplify right side
    141,169.38x = 15,100,284,806.54
  5. Step 5: Solve for x
    x = 15,100,284,806.54/141,169.38
  6. Step 6: Final answer
    x = 106,965.72

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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.