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Finding the Fourth Proportional to 135,753.46, 203,816.52 and 69,238.42

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Solution

The fourth proportional to 135,753.46, 203,816.52 and 69,238.42 is: 103,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,753.46 : 203,816.52 = 69,238.42 : x
  2. Step 2: Convert to fraction form
    135,753.46/203,816.52 = 69,238.42/x
  3. Step 3: Cross multiply
    135,753.46x = 203,816.52 × 69,238.42
  4. Step 4: Simplify right side
    135,753.46x = 14,111,933,814.70
  5. Step 5: Solve for x
    x = 14,111,933,814.70/135,753.46
  6. Step 6: Final answer
    x = 103,952.66

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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.