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Finding the Fourth Proportional to 217,721.32, 300,449.60 and 120,922.27

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Solution

The fourth proportional to 217,721.32, 300,449.60 and 120,922.27 is: 166,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,721.32 : 300,449.60 = 120,922.27 : x
  2. Step 2: Convert to fraction form
    217,721.32/300,449.60 = 120,922.27/x
  3. Step 3: Cross multiply
    217,721.32x = 300,449.60 × 120,922.27
  4. Step 4: Simplify right side
    217,721.32x = 36,331,047,430.50
  5. Step 5: Solve for x
    x = 36,331,047,430.50/217,721.32
  6. Step 6: Final answer
    x = 166,869.50

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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.