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Finding the Fourth Proportional to 198,492.92, 297,694.50 and 58,262.48

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Solution

The fourth proportional to 198,492.92, 297,694.50 and 58,262.48 is: 87,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,492.92 : 297,694.50 = 58,262.48 : x
  2. Step 2: Convert to fraction form
    198,492.92/297,694.50 = 58,262.48/x
  3. Step 3: Cross multiply
    198,492.92x = 297,694.50 × 58,262.48
  4. Step 4: Simplify right side
    198,492.92x = 17,344,419,852.36
  5. Step 5: Solve for x
    x = 17,344,419,852.36/198,492.92
  6. Step 6: Final answer
    x = 87,380.55

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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.