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Finding the Fourth Proportional to 206,325.27, 309,385.83 and 73,185.57

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Solution

The fourth proportional to 206,325.27, 309,385.83 and 73,185.57 is: 109,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,325.27 : 309,385.83 = 73,185.57 : x
  2. Step 2: Convert to fraction form
    206,325.27/309,385.83 = 73,185.57/x
  3. Step 3: Cross multiply
    206,325.27x = 309,385.83 × 73,185.57
  4. Step 4: Simplify right side
    206,325.27x = 22,642,578,318.47
  5. Step 5: Solve for x
    x = 22,642,578,318.47/206,325.27
  6. Step 6: Final answer
    x = 109,742.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.