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Finding the Fourth Proportional to 114,228.27, 171,286.89 and 57,277.71

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Solution

The fourth proportional to 114,228.27, 171,286.89 and 57,277.71 is: 85,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,228.27 : 171,286.89 = 57,277.71 : x
  2. Step 2: Convert to fraction form
    114,228.27/171,286.89 = 57,277.71/x
  3. Step 3: Cross multiply
    114,228.27x = 171,286.89 × 57,277.71
  4. Step 4: Simplify right side
    114,228.27x = 9,810,920,812.22
  5. Step 5: Solve for x
    x = 9,810,920,812.22/114,228.27
  6. Step 6: Final answer
    x = 85,888.73

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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.