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Finding the Fourth Proportional to 106,136.64, 146,469.78 and 60,813.72

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Solution

The fourth proportional to 106,136.64, 146,469.78 and 60,813.72 is: 83,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,136.64 : 146,469.78 = 60,813.72 : x
  2. Step 2: Convert to fraction form
    106,136.64/146,469.78 = 60,813.72/x
  3. Step 3: Cross multiply
    106,136.64x = 146,469.78 × 60,813.72
  4. Step 4: Simplify right side
    106,136.64x = 8,907,372,189.38
  5. Step 5: Solve for x
    x = 8,907,372,189.38/106,136.64
  6. Step 6: Final answer
    x = 83,923.63

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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.