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Finding the Fourth Proportional to 203,202.81, 280,407.54 and 112,553.49

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Solution

The fourth proportional to 203,202.81, 280,407.54 and 112,553.49 is: 155,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,202.81 : 280,407.54 = 112,553.49 : x
  2. Step 2: Convert to fraction form
    203,202.81/280,407.54 = 112,553.49/x
  3. Step 3: Cross multiply
    203,202.81x = 280,407.54 × 112,553.49
  4. Step 4: Simplify right side
    203,202.81x = 31,560,847,249.31
  5. Step 5: Solve for x
    x = 31,560,847,249.31/203,202.81
  6. Step 6: Final answer
    x = 155,316.98

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