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Finding the Fourth Proportional to 114,286.96, 171,441.71 and 39,397.24

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Solution

The fourth proportional to 114,286.96, 171,441.71 and 39,397.24 is: 59,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,286.96 : 171,441.71 = 39,397.24 : x
  2. Step 2: Convert to fraction form
    114,286.96/171,441.71 = 39,397.24/x
  3. Step 3: Cross multiply
    114,286.96x = 171,441.71 × 39,397.24
  4. Step 4: Simplify right side
    114,286.96x = 6,754,330,194.88
  5. Step 5: Solve for x
    x = 6,754,330,194.88/114,286.96
  6. Step 6: Final answer
    x = 59,099.75

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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.