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Finding the Fourth Proportional to 206,959.12, 311,821.63 and 186,991.82

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Solution

The fourth proportional to 206,959.12, 311,821.63 and 186,991.82 is: 281,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,959.12 : 311,821.63 = 186,991.82 : x
  2. Step 2: Convert to fraction form
    206,959.12/311,821.63 = 186,991.82/x
  3. Step 3: Cross multiply
    206,959.12x = 311,821.63 × 186,991.82
  4. Step 4: Simplify right side
    206,959.12x = 58,308,094,109.07
  5. Step 5: Solve for x
    x = 58,308,094,109.07/206,959.12
  6. Step 6: Final answer
    x = 281,737.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.