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Finding the Fourth Proportional to 235,667.28, 353,500.92 and 111,018

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Solution

The fourth proportional to 235,667.28, 353,500.92 and 111,018 is: 166,527

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,667.28 : 353,500.92 = 111,018 : x
  2. Step 2: Convert to fraction form
    235,667.28/353,500.92 = 111,018/x
  3. Step 3: Cross multiply
    235,667.28x = 353,500.92 × 111,018
  4. Step 4: Simplify right side
    235,667.28x = 39,244,965,136.56
  5. Step 5: Solve for x
    x = 39,244,965,136.56/235,667.28
  6. Step 6: Final answer
    x = 166,527

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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.