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Finding the Fourth Proportional to 206,651.84, 285,179.39 and 116,007.98

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Solution

The fourth proportional to 206,651.84, 285,179.39 and 116,007.98 is: 160,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,651.84 : 285,179.39 = 116,007.98 : x
  2. Step 2: Convert to fraction form
    206,651.84/285,179.39 = 116,007.98/x
  3. Step 3: Cross multiply
    206,651.84x = 285,179.39 × 116,007.98
  4. Step 4: Simplify right side
    206,651.84x = 33,083,082,965.60
  5. Step 5: Solve for x
    x = 33,083,082,965.60/206,651.84
  6. Step 6: Final answer
    x = 160,090.92

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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.