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Finding the Fourth Proportional to 141,213.50, 211,907.79 and 82,077.02

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Solution

The fourth proportional to 141,213.50, 211,907.79 and 82,077.02 is: 123,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,213.50 : 211,907.79 = 82,077.02 : x
  2. Step 2: Convert to fraction form
    141,213.50/211,907.79 = 82,077.02/x
  3. Step 3: Cross multiply
    141,213.50x = 211,907.79 × 82,077.02
  4. Step 4: Simplify right side
    141,213.50x = 17,392,759,917.99
  5. Step 5: Solve for x
    x = 17,392,759,917.99/141,213.50
  6. Step 6: Final answer
    x = 123,166.41

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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.