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Finding the Fourth Proportional to 203,250.27, 280,524.60 and 117,264.78

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Solution

The fourth proportional to 203,250.27, 280,524.60 and 117,264.78 is: 161,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,250.27 : 280,524.60 = 117,264.78 : x
  2. Step 2: Convert to fraction form
    203,250.27/280,524.60 = 117,264.78/x
  3. Step 3: Cross multiply
    203,250.27x = 280,524.60 × 117,264.78
  4. Step 4: Simplify right side
    203,250.27x = 32,895,655,503.59
  5. Step 5: Solve for x
    x = 32,895,655,503.59/203,250.27
  6. Step 6: Final answer
    x = 161,848.03

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Why These Related Problems?

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