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Finding the Fourth Proportional to 178,562.72, 267,836.40 and 53,900

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Solution

The fourth proportional to 178,562.72, 267,836.40 and 53,900 is: 80,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,562.72 : 267,836.40 = 53,900 : x
  2. Step 2: Convert to fraction form
    178,562.72/267,836.40 = 53,900/x
  3. Step 3: Cross multiply
    178,562.72x = 267,836.40 × 53,900
  4. Step 4: Simplify right side
    178,562.72x = 14,436,381,960.00
  5. Step 5: Solve for x
    x = 14,436,381,960.00/178,562.72
  6. Step 6: Final answer
    x = 80,847.68

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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.