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Finding the Fourth Proportional to 132,492.30, 198,744.82 and 43,743.84

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Solution

The fourth proportional to 132,492.30, 198,744.82 and 43,743.84 is: 65,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,492.30 : 198,744.82 = 43,743.84 : x
  2. Step 2: Convert to fraction form
    132,492.30/198,744.82 = 43,743.84/x
  3. Step 3: Cross multiply
    132,492.30x = 198,744.82 × 43,743.84
  4. Step 4: Simplify right side
    132,492.30x = 8,693,860,722.54
  5. Step 5: Solve for x
    x = 8,693,860,722.54/132,492.30
  6. Step 6: Final answer
    x = 65,617.86

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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.