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Finding the Fourth Proportional to 190,668.52, 263,122.59 and 105,785.38

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Solution

The fourth proportional to 190,668.52, 263,122.59 and 105,785.38 is: 145,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,668.52 : 263,122.59 = 105,785.38 : x
  2. Step 2: Convert to fraction form
    190,668.52/263,122.59 = 105,785.38/x
  3. Step 3: Cross multiply
    190,668.52x = 263,122.59 × 105,785.38
  4. Step 4: Simplify right side
    190,668.52x = 27,834,523,169.73
  5. Step 5: Solve for x
    x = 27,834,523,169.73/190,668.52
  6. Step 6: Final answer
    x = 145,983.84

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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.