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Finding the Fourth Proportional to 141,463.26, 195,213.87 and 77,797.26

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Solution

The fourth proportional to 141,463.26, 195,213.87 and 77,797.26 is: 107,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,463.26 : 195,213.87 = 77,797.26 : x
  2. Step 2: Convert to fraction form
    141,463.26/195,213.87 = 77,797.26/x
  3. Step 3: Cross multiply
    141,463.26x = 195,213.87 × 77,797.26
  4. Step 4: Simplify right side
    141,463.26x = 15,187,104,200.00
  5. Step 5: Solve for x
    x = 15,187,104,200.00/141,463.26
  6. Step 6: Final answer
    x = 107,357.23

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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.