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Finding the Fourth Proportional to 206,653.82, 285,182.16 and 116,009.96

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Solution

The fourth proportional to 206,653.82, 285,182.16 and 116,009.96 is: 160,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,653.82 : 285,182.16 = 116,009.96 : x
  2. Step 2: Convert to fraction form
    206,653.82/285,182.16 = 116,009.96/x
  3. Step 3: Cross multiply
    206,653.82x = 285,182.16 × 116,009.96
  4. Step 4: Simplify right side
    206,653.82x = 33,083,970,974.31
  5. Step 5: Solve for x
    x = 33,083,970,974.31/206,653.82
  6. Step 6: Final answer
    x = 160,093.68

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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.