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Finding the Fourth Proportional to 206,959.62, 311,822.38 and 186,992.32

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Solution

The fourth proportional to 206,959.62, 311,822.38 and 186,992.32 is: 281,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,959.62 : 311,822.38 = 186,992.32 : x
  2. Step 2: Convert to fraction form
    206,959.62/311,822.38 = 186,992.32/x
  3. Step 3: Cross multiply
    206,959.62x = 311,822.38 × 186,992.32
  4. Step 4: Simplify right side
    206,959.62x = 58,308,390,264.12
  5. Step 5: Solve for x
    x = 58,308,390,264.12/206,959.62
  6. Step 6: Final answer
    x = 281,738.00

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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.