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Finding the Fourth Proportional to 120,412.09, 180,618.56 and 40,447.77

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Solution

The fourth proportional to 120,412.09, 180,618.56 and 40,447.77 is: 60,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412.09 : 180,618.56 = 40,447.77 : x
  2. Step 2: Convert to fraction form
    120,412.09/180,618.56 = 40,447.77/x
  3. Step 3: Cross multiply
    120,412.09x = 180,618.56 × 40,447.77
  4. Step 4: Simplify right side
    120,412.09x = 7,305,618,260.71
  5. Step 5: Solve for x
    x = 7,305,618,260.71/120,412.09
  6. Step 6: Final answer
    x = 60,671.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.