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Finding the Fourth Proportional to 133,270.50, 199,905.78 and 34,774.50

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Solution

The fourth proportional to 133,270.50, 199,905.78 and 34,774.50 is: 52,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,270.50 : 199,905.78 = 34,774.50 : x
  2. Step 2: Convert to fraction form
    133,270.50/199,905.78 = 34,774.50/x
  3. Step 3: Cross multiply
    133,270.50x = 199,905.78 × 34,774.50
  4. Step 4: Simplify right side
    133,270.50x = 6,951,623,546.61
  5. Step 5: Solve for x
    x = 6,951,623,546.61/133,270.50
  6. Step 6: Final answer
    x = 52,161.76

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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.