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Finding the Fourth Proportional to 203,438.70, 305,158.05 and 140,453.10

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Solution

The fourth proportional to 203,438.70, 305,158.05 and 140,453.10 is: 210,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,438.70 : 305,158.05 = 140,453.10 : x
  2. Step 2: Convert to fraction form
    203,438.70/305,158.05 = 140,453.10/x
  3. Step 3: Cross multiply
    203,438.70x = 305,158.05 × 140,453.10
  4. Step 4: Simplify right side
    203,438.70x = 42,860,394,112.46
  5. Step 5: Solve for x
    x = 42,860,394,112.46/203,438.70
  6. Step 6: Final answer
    x = 210,679.65

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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.