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Finding the Fourth Proportional to 178,600.16, 267,900.24 and 53,941.16

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Solution

The fourth proportional to 178,600.16, 267,900.24 and 53,941.16 is: 80,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,600.16 : 267,900.24 = 53,941.16 : x
  2. Step 2: Convert to fraction form
    178,600.16/267,900.24 = 53,941.16/x
  3. Step 3: Cross multiply
    178,600.16x = 267,900.24 × 53,941.16
  4. Step 4: Simplify right side
    178,600.16x = 14,450,848,370.38
  5. Step 5: Solve for x
    x = 14,450,848,370.38/178,600.16
  6. Step 6: Final answer
    x = 80,911.73

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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.