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Finding the Fourth Proportional to 105,684.89, 145,845.74 and 57,286.94

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Solution

The fourth proportional to 105,684.89, 145,845.74 and 57,286.94 is: 79,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,684.89 : 145,845.74 = 57,286.94 : x
  2. Step 2: Convert to fraction form
    105,684.89/145,845.74 = 57,286.94/x
  3. Step 3: Cross multiply
    105,684.89x = 145,845.74 × 57,286.94
  4. Step 4: Simplify right side
    105,684.89x = 8,355,055,570.62
  5. Step 5: Solve for x
    x = 8,355,055,570.62/105,684.89
  6. Step 6: Final answer
    x = 79,056.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.