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Finding the Fourth Proportional to 206,686.14, 285,204.84 and 116,052

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Solution

The fourth proportional to 206,686.14, 285,204.84 and 116,052 is: 160,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,686.14 : 285,204.84 = 116,052 : x
  2. Step 2: Convert to fraction form
    206,686.14/285,204.84 = 116,052/x
  3. Step 3: Cross multiply
    206,686.14x = 285,204.84 × 116,052
  4. Step 4: Simplify right side
    206,686.14x = 33,098,592,091.68
  5. Step 5: Solve for x
    x = 33,098,592,091.68/206,686.14
  6. Step 6: Final answer
    x = 160,139.39

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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.