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Finding the Fourth Proportional to 206,838.31, 285,437.97 and 116,198.11

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Solution

The fourth proportional to 206,838.31, 285,437.97 and 116,198.11 is: 160,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.31 : 285,437.97 = 116,198.11 : x
  2. Step 2: Convert to fraction form
    206,838.31/285,437.97 = 116,198.11/x
  3. Step 3: Cross multiply
    206,838.31x = 285,437.97 × 116,198.11
  4. Step 4: Simplify right side
    206,838.31x = 33,167,352,636.24
  5. Step 5: Solve for x
    x = 33,167,352,636.24/206,838.31
  6. Step 6: Final answer
    x = 160,354.01

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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.