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Finding the Fourth Proportional to 106,640.58, 160,059.27 and 54,086.97

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Solution

The fourth proportional to 106,640.58, 160,059.27 and 54,086.97 is: 81,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,640.58 : 160,059.27 = 54,086.97 : x
  2. Step 2: Convert to fraction form
    106,640.58/160,059.27 = 54,086.97/x
  3. Step 3: Cross multiply
    106,640.58x = 160,059.27 × 54,086.97
  4. Step 4: Simplify right side
    106,640.58x = 8,657,120,934.71
  5. Step 5: Solve for x
    x = 8,657,120,934.71/106,640.58
  6. Step 6: Final answer
    x = 81,180.36

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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.