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Finding the Fourth Proportional to 133,572.44, 200,339.04 and 50,447

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Solution

The fourth proportional to 133,572.44, 200,339.04 and 50,447 is: 75,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,572.44 : 200,339.04 = 50,447 : x
  2. Step 2: Convert to fraction form
    133,572.44/200,339.04 = 50,447/x
  3. Step 3: Cross multiply
    133,572.44x = 200,339.04 × 50,447
  4. Step 4: Simplify right side
    133,572.44x = 10,106,503,550.88
  5. Step 5: Solve for x
    x = 10,106,503,550.88/133,572.44
  6. Step 6: Final answer
    x = 75,663.09

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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.