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Finding the Fourth Proportional to 169,558.58, 234,015.21 and 101,578.46

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Solution

The fourth proportional to 169,558.58, 234,015.21 and 101,578.46 is: 140,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,558.58 : 234,015.21 = 101,578.46 : x
  2. Step 2: Convert to fraction form
    169,558.58/234,015.21 = 101,578.46/x
  3. Step 3: Cross multiply
    169,558.58x = 234,015.21 × 101,578.46
  4. Step 4: Simplify right side
    169,558.58x = 23,770,903,478.30
  5. Step 5: Solve for x
    x = 23,770,903,478.30/169,558.58
  6. Step 6: Final answer
    x = 140,192.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.