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Finding the Fourth Proportional to 283,811.22, 425,716.83 and 73,448.55

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Solution

The fourth proportional to 283,811.22, 425,716.83 and 73,448.55 is: 110,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,811.22 : 425,716.83 = 73,448.55 : x
  2. Step 2: Convert to fraction form
    283,811.22/425,716.83 = 73,448.55/x
  3. Step 3: Cross multiply
    283,811.22x = 425,716.83 × 73,448.55
  4. Step 4: Simplify right side
    283,811.22x = 31,268,283,874.10
  5. Step 5: Solve for x
    x = 31,268,283,874.10/283,811.22
  6. Step 6: Final answer
    x = 110,172.83

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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.