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Finding the Fourth Proportional to 106,651.80, 160,107.30 and 54,034.20

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Solution

The fourth proportional to 106,651.80, 160,107.30 and 54,034.20 is: 81,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,651.80 : 160,107.30 = 54,034.20 : x
  2. Step 2: Convert to fraction form
    106,651.80/160,107.30 = 54,034.20/x
  3. Step 3: Cross multiply
    106,651.80x = 160,107.30 × 54,034.20
  4. Step 4: Simplify right side
    106,651.80x = 8,651,269,869.66
  5. Step 5: Solve for x
    x = 8,651,269,869.66/106,651.80
  6. Step 6: Final answer
    x = 81,116.96

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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.