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Finding the Fourth Proportional to 133,594.34, 200,372.96 and 33,748.38

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Solution

The fourth proportional to 133,594.34, 200,372.96 and 33,748.38 is: 50,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,594.34 : 200,372.96 = 33,748.38 : x
  2. Step 2: Convert to fraction form
    133,594.34/200,372.96 = 33,748.38/x
  3. Step 3: Cross multiply
    133,594.34x = 200,372.96 × 33,748.38
  4. Step 4: Simplify right side
    133,594.34x = 6,762,262,880.18
  5. Step 5: Solve for x
    x = 6,762,262,880.18/133,594.34
  6. Step 6: Final answer
    x = 50,617.89

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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.