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Finding the Fourth Proportional to 206,842.14, 285,443.19 and 116,201.94

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Solution

The fourth proportional to 206,842.14, 285,443.19 and 116,201.94 is: 160,359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842.14 : 285,443.19 = 116,201.94 : x
  2. Step 2: Convert to fraction form
    206,842.14/285,443.19 = 116,201.94/x
  3. Step 3: Cross multiply
    206,842.14x = 285,443.19 × 116,201.94
  4. Step 4: Simplify right side
    206,842.14x = 33,169,052,437.79
  5. Step 5: Solve for x
    x = 33,169,052,437.79/206,842.14
  6. Step 6: Final answer
    x = 160,359.26

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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.