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Finding the Fourth Proportional to 114,111.12, 171,024.10 and 54,930.96

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Solution

The fourth proportional to 114,111.12, 171,024.10 and 54,930.96 is: 82,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,111.12 : 171,024.10 = 54,930.96 : x
  2. Step 2: Convert to fraction form
    114,111.12/171,024.10 = 54,930.96/x
  3. Step 3: Cross multiply
    114,111.12x = 171,024.10 × 54,930.96
  4. Step 4: Simplify right side
    114,111.12x = 9,394,517,996.14
  5. Step 5: Solve for x
    x = 9,394,517,996.14/114,111.12
  6. Step 6: Final answer
    x = 82,327.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.