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Finding the Fourth Proportional to 106,367.80, 146,787.57 and 57,969.75

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Solution

The fourth proportional to 106,367.80, 146,787.57 and 57,969.75 is: 79,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,367.80 : 146,787.57 = 57,969.75 : x
  2. Step 2: Convert to fraction form
    106,367.80/146,787.57 = 57,969.75/x
  3. Step 3: Cross multiply
    106,367.80x = 146,787.57 × 57,969.75
  4. Step 4: Simplify right side
    106,367.80x = 8,509,238,736.01
  5. Step 5: Solve for x
    x = 8,509,238,736.01/106,367.80
  6. Step 6: Final answer
    x = 79,998.26

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Why These Related Problems?

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