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Finding the Fourth Proportional to 194,668.56, 268,651.71 and 109,783.80

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Solution

The fourth proportional to 194,668.56, 268,651.71 and 109,783.80 is: 151,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,668.56 : 268,651.71 = 109,783.80 : x
  2. Step 2: Convert to fraction form
    194,668.56/268,651.71 = 109,783.80/x
  3. Step 3: Cross multiply
    194,668.56x = 268,651.71 × 109,783.80
  4. Step 4: Simplify right side
    194,668.56x = 29,493,605,600.30
  5. Step 5: Solve for x
    x = 29,493,605,600.30/194,668.56
  6. Step 6: Final answer
    x = 151,506.77

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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.