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Finding the Fourth Proportional to 217,077.60, 325,616.40 and 76,850.40

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Solution

The fourth proportional to 217,077.60, 325,616.40 and 76,850.40 is: 115,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,077.60 : 325,616.40 = 76,850.40 : x
  2. Step 2: Convert to fraction form
    217,077.60/325,616.40 = 76,850.40/x
  3. Step 3: Cross multiply
    217,077.60x = 325,616.40 × 76,850.40
  4. Step 4: Simplify right side
    217,077.60x = 25,023,750,586.56
  5. Step 5: Solve for x
    x = 25,023,750,586.56/217,077.60
  6. Step 6: Final answer
    x = 115,275.60

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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.