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Finding the Fourth Proportional to 179,212.24, 268,857.24 and 54,550

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Solution

The fourth proportional to 179,212.24, 268,857.24 and 54,550 is: 81,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,212.24 : 268,857.24 = 54,550 : x
  2. Step 2: Convert to fraction form
    179,212.24/268,857.24 = 54,550/x
  3. Step 3: Cross multiply
    179,212.24x = 268,857.24 × 54,550
  4. Step 4: Simplify right side
    179,212.24x = 14,666,162,442
  5. Step 5: Solve for x
    x = 14,666,162,442/179,212.24
  6. Step 6: Final answer
    x = 81,836.83

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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.