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Finding the Fourth Proportional to 159,286.38, 238,964.13 and 48,475.50

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Solution

The fourth proportional to 159,286.38, 238,964.13 and 48,475.50 is: 72,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,286.38 : 238,964.13 = 48,475.50 : x
  2. Step 2: Convert to fraction form
    159,286.38/238,964.13 = 48,475.50/x
  3. Step 3: Cross multiply
    159,286.38x = 238,964.13 × 48,475.50
  4. Step 4: Simplify right side
    159,286.38x = 11,583,905,683.82
  5. Step 5: Solve for x
    x = 11,583,905,683.82/159,286.38
  6. Step 6: Final answer
    x = 72,723.77

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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.