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Finding the Fourth Proportional to 159,221.64, 238,823.82 and 48,405

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Solution

The fourth proportional to 159,221.64, 238,823.82 and 48,405 is: 72,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,221.64 : 238,823.82 = 48,405 : x
  2. Step 2: Convert to fraction form
    159,221.64/238,823.82 = 48,405/x
  3. Step 3: Cross multiply
    159,221.64x = 238,823.82 × 48,405
  4. Step 4: Simplify right side
    159,221.64x = 11,560,267,007.10
  5. Step 5: Solve for x
    x = 11,560,267,007.10/159,221.64
  6. Step 6: Final answer
    x = 72,604.87

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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.