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Finding the Fourth Proportional to 111,257.78, 166,836 and 48,047.82

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Solution

The fourth proportional to 111,257.78, 166,836 and 48,047.82 is: 72,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,257.78 : 166,836 = 48,047.82 : x
  2. Step 2: Convert to fraction form
    111,257.78/166,836 = 48,047.82/x
  3. Step 3: Cross multiply
    111,257.78x = 166,836 × 48,047.82
  4. Step 4: Simplify right side
    111,257.78x = 8,016,106,097.52
  5. Step 5: Solve for x
    x = 8,016,106,097.52/111,257.78
  6. Step 6: Final answer
    x = 72,049.85

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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.