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Finding the Fourth Proportional to 154,636.56, 231,963.96 and 49,447.32

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Solution

The fourth proportional to 154,636.56, 231,963.96 and 49,447.32 is: 74,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,636.56 : 231,963.96 = 49,447.32 : x
  2. Step 2: Convert to fraction form
    154,636.56/231,963.96 = 49,447.32/x
  3. Step 3: Cross multiply
    154,636.56x = 231,963.96 × 49,447.32
  4. Step 4: Simplify right side
    154,636.56x = 11,469,996,158.59
  5. Step 5: Solve for x
    x = 11,469,996,158.59/154,636.56
  6. Step 6: Final answer
    x = 74,173.90

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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.