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Finding the Fourth Proportional to 114,233.96, 171,428.46 and 40,361.96

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Solution

The fourth proportional to 114,233.96, 171,428.46 and 40,361.96 is: 60,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,233.96 : 171,428.46 = 40,361.96 : x
  2. Step 2: Convert to fraction form
    114,233.96/171,428.46 = 40,361.96/x
  3. Step 3: Cross multiply
    114,233.96x = 171,428.46 × 40,361.96
  4. Step 4: Simplify right side
    114,233.96x = 6,919,188,645.38
  5. Step 5: Solve for x
    x = 6,919,188,645.38/114,233.96
  6. Step 6: Final answer
    x = 60,570.33

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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.