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Finding the Fourth Proportional to 203,022.60, 303,669.90 and 182,113.80

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Solution

The fourth proportional to 203,022.60, 303,669.90 and 182,113.80 is: 272,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,022.60 : 303,669.90 = 182,113.80 : x
  2. Step 2: Convert to fraction form
    203,022.60/303,669.90 = 182,113.80/x
  3. Step 3: Cross multiply
    203,022.60x = 303,669.90 × 182,113.80
  4. Step 4: Simplify right side
    203,022.60x = 55,302,479,434.62
  5. Step 5: Solve for x
    x = 55,302,479,434.62/203,022.60
  6. Step 6: Final answer
    x = 272,395.68

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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.