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Finding the Fourth Proportional to 202,553.40, 303,246.90 and 181,558.20

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Solution

The fourth proportional to 202,553.40, 303,246.90 and 181,558.20 is: 271,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,553.40 : 303,246.90 = 181,558.20 : x
  2. Step 2: Convert to fraction form
    202,553.40/303,246.90 = 181,558.20/x
  3. Step 3: Cross multiply
    202,553.40x = 303,246.90 × 181,558.20
  4. Step 4: Simplify right side
    202,553.40x = 55,056,961,319.58
  5. Step 5: Solve for x
    x = 55,056,961,319.58/202,553.40
  6. Step 6: Final answer
    x = 271,814.55

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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.