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Finding the Fourth Proportional to 217,671.20, 300,365.52 and 122,156

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Solution

The fourth proportional to 217,671.20, 300,365.52 and 122,156 is: 168,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,671.20 : 300,365.52 = 122,156 : x
  2. Step 2: Convert to fraction form
    217,671.20/300,365.52 = 122,156/x
  3. Step 3: Cross multiply
    217,671.20x = 300,365.52 × 122,156
  4. Step 4: Simplify right side
    217,671.20x = 36,691,450,461.12
  5. Step 5: Solve for x
    x = 36,691,450,461.12/217,671.20
  6. Step 6: Final answer
    x = 168,563.64

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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.