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Finding the Fourth Proportional to 114,204.97, 171,342.50 and 51,078.20

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Solution

The fourth proportional to 114,204.97, 171,342.50 and 51,078.20 is: 76,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,204.97 : 171,342.50 = 51,078.20 : x
  2. Step 2: Convert to fraction form
    114,204.97/171,342.50 = 51,078.20/x
  3. Step 3: Cross multiply
    114,204.97x = 171,342.50 × 51,078.20
  4. Step 4: Simplify right side
    114,204.97x = 8,751,865,371.40
  5. Step 5: Solve for x
    x = 8,751,865,371.40/114,204.97
  6. Step 6: Final answer
    x = 76,632.96

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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.