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Finding the Fourth Proportional to 206,822.61, 310,157.37 and 73,667.52

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Solution

The fourth proportional to 206,822.61, 310,157.37 and 73,667.52 is: 110,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,822.61 : 310,157.37 = 73,667.52 : x
  2. Step 2: Convert to fraction form
    206,822.61/310,157.37 = 73,667.52/x
  3. Step 3: Cross multiply
    206,822.61x = 310,157.37 × 73,667.52
  4. Step 4: Simplify right side
    206,822.61x = 22,848,524,257.62
  5. Step 5: Solve for x
    x = 22,848,524,257.62/206,822.61
  6. Step 6: Final answer
    x = 110,474.02

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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.