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Finding the Fourth Proportional to 281,952.72, 422,691.84 and 132,114

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Solution

The fourth proportional to 281,952.72, 422,691.84 and 132,114 is: 198,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,952.72 : 422,691.84 = 132,114 : x
  2. Step 2: Convert to fraction form
    281,952.72/422,691.84 = 132,114/x
  3. Step 3: Cross multiply
    281,952.72x = 422,691.84 × 132,114
  4. Step 4: Simplify right side
    281,952.72x = 55,843,509,749.76
  5. Step 5: Solve for x
    x = 55,843,509,749.76/281,952.72
  6. Step 6: Final answer
    x = 198,059.84

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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.