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Finding the Fourth Proportional to 103,796.38, 155,743.78 and 61,759.54

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Solution

The fourth proportional to 103,796.38, 155,743.78 and 61,759.54 is: 92,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,796.38 : 155,743.78 = 61,759.54 : x
  2. Step 2: Convert to fraction form
    103,796.38/155,743.78 = 61,759.54/x
  3. Step 3: Cross multiply
    103,796.38x = 155,743.78 × 61,759.54
  4. Step 4: Simplify right side
    103,796.38x = 9,618,664,210.66
  5. Step 5: Solve for x
    x = 9,618,664,210.66/103,796.38
  6. Step 6: Final answer
    x = 92,668.59

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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.