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Finding the Fourth Proportional to 206,959.37, 311,822.01 and 186,992.07

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Solution

The fourth proportional to 206,959.37, 311,822.01 and 186,992.07 is: 281,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,959.37 : 311,822.01 = 186,992.07 : x
  2. Step 2: Convert to fraction form
    206,959.37/311,822.01 = 186,992.07/x
  3. Step 3: Cross multiply
    206,959.37x = 311,822.01 × 186,992.07
  4. Step 4: Simplify right side
    206,959.37x = 58,308,242,186.50
  5. Step 5: Solve for x
    x = 58,308,242,186.50/206,959.37
  6. Step 6: Final answer
    x = 281,737.63

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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.