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Finding the Fourth Proportional to 267,743.70, 401,402.43 and 132,712.74

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Solution

The fourth proportional to 267,743.70, 401,402.43 and 132,712.74 is: 198,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,743.70 : 401,402.43 = 132,712.74 : x
  2. Step 2: Convert to fraction form
    267,743.70/401,402.43 = 132,712.74/x
  3. Step 3: Cross multiply
    267,743.70x = 401,402.43 × 132,712.74
  4. Step 4: Simplify right side
    267,743.70x = 53,271,216,327.96
  5. Step 5: Solve for x
    x = 53,271,216,327.96/267,743.70
  6. Step 6: Final answer
    x = 198,963.47

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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.