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Finding the Fourth Proportional to 206,005.82, 308,960.33 and 116,087.72

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Solution

The fourth proportional to 206,005.82, 308,960.33 and 116,087.72 is: 174,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,005.82 : 308,960.33 = 116,087.72 : x
  2. Step 2: Convert to fraction form
    206,005.82/308,960.33 = 116,087.72/x
  3. Step 3: Cross multiply
    206,005.82x = 308,960.33 × 116,087.72
  4. Step 4: Simplify right side
    206,005.82x = 35,866,498,154.91
  5. Step 5: Solve for x
    x = 35,866,498,154.91/206,005.82
  6. Step 6: Final answer
    x = 174,104.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.