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Finding the Fourth Proportional to 221,432.60, 332,181.30 and 71,647.40

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Solution

The fourth proportional to 221,432.60, 332,181.30 and 71,647.40 is: 107,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,432.60 : 332,181.30 = 71,647.40 : x
  2. Step 2: Convert to fraction form
    221,432.60/332,181.30 = 71,647.40/x
  3. Step 3: Cross multiply
    221,432.60x = 332,181.30 × 71,647.40
  4. Step 4: Simplify right side
    221,432.60x = 23,799,926,473.62
  5. Step 5: Solve for x
    x = 23,799,926,473.62/221,432.60
  6. Step 6: Final answer
    x = 107,481.58

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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.