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Finding the Fourth Proportional to 217,382.43, 300,012.75 and 144,781.32

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Solution

The fourth proportional to 217,382.43, 300,012.75 and 144,781.32 is: 199,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,382.43 : 300,012.75 = 144,781.32 : x
  2. Step 2: Convert to fraction form
    217,382.43/300,012.75 = 144,781.32/x
  3. Step 3: Cross multiply
    217,382.43x = 300,012.75 × 144,781.32
  4. Step 4: Simplify right side
    217,382.43x = 43,436,241,961.83
  5. Step 5: Solve for x
    x = 43,436,241,961.83/217,382.43
  6. Step 6: Final answer
    x = 199,814.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.