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Finding the Fourth Proportional to 114,105.44, 171,178.56 and 39,206.24

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Solution

The fourth proportional to 114,105.44, 171,178.56 and 39,206.24 is: 58,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,105.44 : 171,178.56 = 39,206.24 : x
  2. Step 2: Convert to fraction form
    114,105.44/171,178.56 = 39,206.24/x
  3. Step 3: Cross multiply
    114,105.44x = 171,178.56 × 39,206.24
  4. Step 4: Simplify right side
    114,105.44x = 6,711,267,706.21
  5. Step 5: Solve for x
    x = 6,711,267,706.21/114,105.44
  6. Step 6: Final answer
    x = 58,816.37

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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.