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Finding the Fourth Proportional to 120,039.69, 165,514.23 and 81,821.86

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Solution

The fourth proportional to 120,039.69, 165,514.23 and 81,821.86 is: 112,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,039.69 : 165,514.23 = 81,821.86 : x
  2. Step 2: Convert to fraction form
    120,039.69/165,514.23 = 81,821.86/x
  3. Step 3: Cross multiply
    120,039.69x = 165,514.23 × 81,821.86
  4. Step 4: Simplify right side
    120,039.69x = 13,542,682,155.07
  5. Step 5: Solve for x
    x = 13,542,682,155.07/120,039.69
  6. Step 6: Final answer
    x = 112,818.37

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