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Finding the Fourth Proportional to 135,904.34, 203,776.02 and 41,105.78

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Solution

The fourth proportional to 135,904.34, 203,776.02 and 41,105.78 is: 61,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904.34 : 203,776.02 = 41,105.78 : x
  2. Step 2: Convert to fraction form
    135,904.34/203,776.02 = 41,105.78/x
  3. Step 3: Cross multiply
    135,904.34x = 203,776.02 × 41,105.78
  4. Step 4: Simplify right side
    135,904.34x = 8,376,372,247.40
  5. Step 5: Solve for x
    x = 8,376,372,247.40/135,904.34
  6. Step 6: Final answer
    x = 61,634.32

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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.