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Finding the Fourth Proportional to 161,671.56, 242,357.34 and 82,611.48

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Solution

The fourth proportional to 161,671.56, 242,357.34 and 82,611.48 is: 123,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,671.56 : 242,357.34 = 82,611.48 : x
  2. Step 2: Convert to fraction form
    161,671.56/242,357.34 = 82,611.48/x
  3. Step 3: Cross multiply
    161,671.56x = 242,357.34 × 82,611.48
  4. Step 4: Simplify right side
    161,671.56x = 20,021,498,546.26
  5. Step 5: Solve for x
    x = 20,021,498,546.26/161,671.56
  6. Step 6: Final answer
    x = 123,840.57

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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.