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Finding the Fourth Proportional to 217,383.43, 300,014.13 and 144,782.32

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Solution

The fourth proportional to 217,383.43, 300,014.13 and 144,782.32 is: 199,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,383.43 : 300,014.13 = 144,782.32 : x
  2. Step 2: Convert to fraction form
    217,383.43/300,014.13 = 144,782.32/x
  3. Step 3: Cross multiply
    217,383.43x = 300,014.13 × 144,782.32
  4. Step 4: Simplify right side
    217,383.43x = 43,436,741,774.18
  5. Step 5: Solve for x
    x = 43,436,741,774.18/217,383.43
  6. Step 6: Final answer
    x = 199,816.25

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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.