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Finding the Fourth Proportional to 135,996.50, 204,002.04 and 42,509.54

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Solution

The fourth proportional to 135,996.50, 204,002.04 and 42,509.54 is: 63,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,996.50 : 204,002.04 = 42,509.54 : x
  2. Step 2: Convert to fraction form
    135,996.50/204,002.04 = 42,509.54/x
  3. Step 3: Cross multiply
    135,996.50x = 204,002.04 × 42,509.54
  4. Step 4: Simplify right side
    135,996.50x = 8,672,032,879.46
  5. Step 5: Solve for x
    x = 8,672,032,879.46/135,996.50
  6. Step 6: Final answer
    x = 63,766.59

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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.