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Finding the Fourth Proportional to 206,853.56, 285,437.76 and 116,189

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Solution

The fourth proportional to 206,853.56, 285,437.76 and 116,189 is: 160,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,853.56 : 285,437.76 = 116,189 : x
  2. Step 2: Convert to fraction form
    206,853.56/285,437.76 = 116,189/x
  3. Step 3: Cross multiply
    206,853.56x = 285,437.76 × 116,189
  4. Step 4: Simplify right side
    206,853.56x = 33,164,727,896.64
  5. Step 5: Solve for x
    x = 33,164,727,896.64/206,853.56
  6. Step 6: Final answer
    x = 160,329.50

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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.