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Finding the Fourth Proportional to 120,914.70, 181,371.84 and 32,168.22

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Solution

The fourth proportional to 120,914.70, 181,371.84 and 32,168.22 is: 48,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,914.70 : 181,371.84 = 32,168.22 : x
  2. Step 2: Convert to fraction form
    120,914.70/181,371.84 = 32,168.22/x
  3. Step 3: Cross multiply
    120,914.70x = 181,371.84 × 32,168.22
  4. Step 4: Simplify right side
    120,914.70x = 5,834,409,250.92
  5. Step 5: Solve for x
    x = 5,834,409,250.92/120,914.70
  6. Step 6: Final answer
    x = 48,252.27

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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.