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Finding the Fourth Proportional to 144,498.94, 199,408.64 and 80,851.77

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Solution

The fourth proportional to 144,498.94, 199,408.64 and 80,851.77 is: 111,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,498.94 : 199,408.64 = 80,851.77 : x
  2. Step 2: Convert to fraction form
    144,498.94/199,408.64 = 80,851.77/x
  3. Step 3: Cross multiply
    144,498.94x = 199,408.64 × 80,851.77
  4. Step 4: Simplify right side
    144,498.94x = 16,122,541,093.03
  5. Step 5: Solve for x
    x = 16,122,541,093.03/144,498.94
  6. Step 6: Final answer
    x = 111,575.50

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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.