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Finding the Fourth Proportional to 221,431.60, 332,147.40 and 142,634.80

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Solution

The fourth proportional to 221,431.60, 332,147.40 and 142,634.80 is: 213,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,431.60 : 332,147.40 = 142,634.80 : x
  2. Step 2: Convert to fraction form
    221,431.60/332,147.40 = 142,634.80/x
  3. Step 3: Cross multiply
    221,431.60x = 332,147.40 × 142,634.80
  4. Step 4: Simplify right side
    221,431.60x = 47,375,777,969.52
  5. Step 5: Solve for x
    x = 47,375,777,969.52/221,431.60
  6. Step 6: Final answer
    x = 213,952.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.