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Finding the Fourth Proportional to 203,871.96, 281,384.70 and 117,834.60

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Solution

The fourth proportional to 203,871.96, 281,384.70 and 117,834.60 is: 162,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,871.96 : 281,384.70 = 117,834.60 : x
  2. Step 2: Convert to fraction form
    203,871.96/281,384.70 = 117,834.60/x
  3. Step 3: Cross multiply
    203,871.96x = 281,384.70 × 117,834.60
  4. Step 4: Simplify right side
    203,871.96x = 33,156,853,570.62
  5. Step 5: Solve for x
    x = 33,156,853,570.62/203,871.96
  6. Step 6: Final answer
    x = 162,635.67

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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.