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Finding the Fourth Proportional to 102,735.78, 154,115.96 and 43,563.75

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Solution

The fourth proportional to 102,735.78, 154,115.96 and 43,563.75 is: 65,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,735.78 : 154,115.96 = 43,563.75 : x
  2. Step 2: Convert to fraction form
    102,735.78/154,115.96 = 43,563.75/x
  3. Step 3: Cross multiply
    102,735.78x = 154,115.96 × 43,563.75
  4. Step 4: Simplify right side
    102,735.78x = 6,713,868,934.63
  5. Step 5: Solve for x
    x = 6,713,868,934.63/102,735.78
  6. Step 6: Final answer
    x = 65,350.83

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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.