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Finding the Fourth Proportional to 206,952.63, 311,811.83 and 186,985.32

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Solution

The fourth proportional to 206,952.63, 311,811.83 and 186,985.32 is: 281,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952.63 : 311,811.83 = 186,985.32 : x
  2. Step 2: Convert to fraction form
    206,952.63/311,811.83 = 186,985.32/x
  3. Step 3: Cross multiply
    206,952.63x = 311,811.83 × 186,985.32
  4. Step 4: Simplify right side
    206,952.63x = 58,304,234,812.34
  5. Step 5: Solve for x
    x = 58,304,234,812.34/206,952.63
  6. Step 6: Final answer
    x = 281,727.44

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