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Finding the Fourth Proportional to 106,352.42, 146,766.60 and 57,954.71

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Solution

The fourth proportional to 106,352.42, 146,766.60 and 57,954.71 is: 79,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,352.42 : 146,766.60 = 57,954.71 : x
  2. Step 2: Convert to fraction form
    106,352.42/146,766.60 = 57,954.71/x
  3. Step 3: Cross multiply
    106,352.42x = 146,766.60 × 57,954.71
  4. Step 4: Simplify right side
    106,352.42x = 8,505,816,107.60
  5. Step 5: Solve for x
    x = 8,505,816,107.60/106,352.42
  6. Step 6: Final answer
    x = 79,977.65

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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.