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Finding the Fourth Proportional to 217,085.10, 325,627.65 and 76,857.90

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Solution

The fourth proportional to 217,085.10, 325,627.65 and 76,857.90 is: 115,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,085.10 : 325,627.65 = 76,857.90 : x
  2. Step 2: Convert to fraction form
    217,085.10/325,627.65 = 76,857.90/x
  3. Step 3: Cross multiply
    217,085.10x = 325,627.65 × 76,857.90
  4. Step 4: Simplify right side
    217,085.10x = 25,027,057,360.94
  5. Step 5: Solve for x
    x = 25,027,057,360.94/217,085.10
  6. Step 6: Final answer
    x = 115,286.85

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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.