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Finding the Fourth Proportional to 204,809.85, 282,638.99 and 114,171.57

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Solution

The fourth proportional to 204,809.85, 282,638.99 and 114,171.57 is: 157,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,809.85 : 282,638.99 = 114,171.57 : x
  2. Step 2: Convert to fraction form
    204,809.85/282,638.99 = 114,171.57/x
  3. Step 3: Cross multiply
    204,809.85x = 282,638.99 × 114,171.57
  4. Step 4: Simplify right side
    204,809.85x = 32,269,337,231.51
  5. Step 5: Solve for x
    x = 32,269,337,231.51/204,809.85
  6. Step 6: Final answer
    x = 157,557.55

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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.