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Finding the Fourth Proportional to 147,233.70, 220,850.55 and 137,319.30

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Solution

The fourth proportional to 147,233.70, 220,850.55 and 137,319.30 is: 205,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,233.70 : 220,850.55 = 137,319.30 : x
  2. Step 2: Convert to fraction form
    147,233.70/220,850.55 = 137,319.30/x
  3. Step 3: Cross multiply
    147,233.70x = 220,850.55 × 137,319.30
  4. Step 4: Simplify right side
    147,233.70x = 30,327,042,930.62
  5. Step 5: Solve for x
    x = 30,327,042,930.62/147,233.70
  6. Step 6: Final answer
    x = 205,978.95

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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.