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Finding the Fourth Proportional to 206,003.26, 308,927.13 and 95,117.50

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Solution

The fourth proportional to 206,003.26, 308,927.13 and 95,117.50 is: 142,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,003.26 : 308,927.13 = 95,117.50 : x
  2. Step 2: Convert to fraction form
    206,003.26/308,927.13 = 95,117.50/x
  3. Step 3: Cross multiply
    206,003.26x = 308,927.13 × 95,117.50
  4. Step 4: Simplify right side
    206,003.26x = 29,384,376,287.78
  5. Step 5: Solve for x
    x = 29,384,376,287.78/206,003.26
  6. Step 6: Final answer
    x = 142,640.35

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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.