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Finding the Fourth Proportional to 178,480.75, 267,732.06 and 53,821.75

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Solution

The fourth proportional to 178,480.75, 267,732.06 and 53,821.75 is: 80,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,480.75 : 267,732.06 = 53,821.75 : x
  2. Step 2: Convert to fraction form
    178,480.75/267,732.06 = 53,821.75/x
  3. Step 3: Cross multiply
    178,480.75x = 267,732.06 × 53,821.75
  4. Step 4: Simplify right side
    178,480.75x = 14,409,808,000.31
  5. Step 5: Solve for x
    x = 14,409,808,000.31/178,480.75
  6. Step 6: Final answer
    x = 80,735.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.