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Finding the Fourth Proportional to 135,422.70, 203,166.45 and 56,496.30

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Solution

The fourth proportional to 135,422.70, 203,166.45 and 56,496.30 is: 84,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,422.70 : 203,166.45 = 56,496.30 : x
  2. Step 2: Convert to fraction form
    135,422.70/203,166.45 = 56,496.30/x
  3. Step 3: Cross multiply
    135,422.70x = 203,166.45 × 56,496.30
  4. Step 4: Simplify right side
    135,422.70x = 11,478,152,709.14
  5. Step 5: Solve for x
    x = 11,478,152,709.14/135,422.70
  6. Step 6: Final answer
    x = 84,757.97

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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.