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Finding the Fourth Proportional to 275,685.55, 413,694.02 and 117,914.15

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Solution

The fourth proportional to 275,685.55, 413,694.02 and 117,914.15 is: 176,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,685.55 : 413,694.02 = 117,914.15 : x
  2. Step 2: Convert to fraction form
    275,685.55/413,694.02 = 117,914.15/x
  3. Step 3: Cross multiply
    275,685.55x = 413,694.02 × 117,914.15
  4. Step 4: Simplify right side
    275,685.55x = 48,780,378,728.38
  5. Step 5: Solve for x
    x = 48,780,378,728.38/275,685.55
  6. Step 6: Final answer
    x = 176,942.09

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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.