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Finding the Fourth Proportional to 102,133.43, 140,944.12 and 57,421.43

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Solution

The fourth proportional to 102,133.43, 140,944.12 and 57,421.43 is: 79,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133.43 : 140,944.12 = 57,421.43 : x
  2. Step 2: Convert to fraction form
    102,133.43/140,944.12 = 57,421.43/x
  3. Step 3: Cross multiply
    102,133.43x = 140,944.12 × 57,421.43
  4. Step 4: Simplify right side
    102,133.43x = 8,093,212,920.49
  5. Step 5: Solve for x
    x = 8,093,212,920.49/102,133.43
  6. Step 6: Final answer
    x = 79,241.57

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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.