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Finding the Fourth Proportional to 183,500.40, 274,991.40 and 135,742.80

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Solution

The fourth proportional to 183,500.40, 274,991.40 and 135,742.80 is: 203,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,500.40 : 274,991.40 = 135,742.80 : x
  2. Step 2: Convert to fraction form
    183,500.40/274,991.40 = 135,742.80/x
  3. Step 3: Cross multiply
    183,500.40x = 274,991.40 × 135,742.80
  4. Step 4: Simplify right side
    183,500.40x = 37,328,102,611.92
  5. Step 5: Solve for x
    x = 37,328,102,611.92/183,500.40
  6. Step 6: Final answer
    x = 203,422.46

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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.