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Finding the Fourth Proportional to 114,091.49, 171,160.05 and 35,202.75

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Solution

The fourth proportional to 114,091.49, 171,160.05 and 35,202.75 is: 52,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,091.49 : 171,160.05 = 35,202.75 : x
  2. Step 2: Convert to fraction form
    114,091.49/171,160.05 = 35,202.75/x
  3. Step 3: Cross multiply
    114,091.49x = 171,160.05 × 35,202.75
  4. Step 4: Simplify right side
    114,091.49x = 6,025,304,450.14
  5. Step 5: Solve for x
    x = 6,025,304,450.14/114,091.49
  6. Step 6: Final answer
    x = 52,811.17

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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.