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Finding the Fourth Proportional to 106,865.40, 160,083.42 and 49,858.68

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Solution

The fourth proportional to 106,865.40, 160,083.42 and 49,858.68 is: 74,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,865.40 : 160,083.42 = 49,858.68 : x
  2. Step 2: Convert to fraction form
    106,865.40/160,083.42 = 49,858.68/x
  3. Step 3: Cross multiply
    106,865.40x = 160,083.42 × 49,858.68
  4. Step 4: Simplify right side
    106,865.40x = 7,981,548,011.09
  5. Step 5: Solve for x
    x = 7,981,548,011.09/106,865.40
  6. Step 6: Final answer
    x = 74,687.86

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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.