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Finding the Fourth Proportional to 74,231.68, 102,357.12 and 57,197.92

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Solution

The fourth proportional to 74,231.68, 102,357.12 and 57,197.92 is: 78,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,231.68 : 102,357.12 = 57,197.92 : x
  2. Step 2: Convert to fraction form
    74,231.68/102,357.12 = 57,197.92/x
  3. Step 3: Cross multiply
    74,231.68x = 102,357.12 × 57,197.92
  4. Step 4: Simplify right side
    74,231.68x = 5,854,614,361.19
  5. Step 5: Solve for x
    x = 5,854,614,361.19/74,231.68
  6. Step 6: Final answer
    x = 78,869.48

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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.