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Finding the Fourth Proportional to 133,447.58, 200,183.79 and 49,204.34

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Solution

The fourth proportional to 133,447.58, 200,183.79 and 49,204.34 is: 73,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,447.58 : 200,183.79 = 49,204.34 : x
  2. Step 2: Convert to fraction form
    133,447.58/200,183.79 = 49,204.34/x
  3. Step 3: Cross multiply
    133,447.58x = 200,183.79 × 49,204.34
  4. Step 4: Simplify right side
    133,447.58x = 9,849,911,265.65
  5. Step 5: Solve for x
    x = 9,849,911,265.65/133,447.58
  6. Step 6: Final answer
    x = 73,811.09

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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.