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Finding the Fourth Proportional to 198,286.70, 296,822.55 and 109,267.70

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Solution

The fourth proportional to 198,286.70, 296,822.55 and 109,267.70 is: 163,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,286.70 : 296,822.55 = 109,267.70 : x
  2. Step 2: Convert to fraction form
    198,286.70/296,822.55 = 109,267.70/x
  3. Step 3: Cross multiply
    198,286.70x = 296,822.55 × 109,267.70
  4. Step 4: Simplify right side
    198,286.70x = 32,433,117,346.64
  5. Step 5: Solve for x
    x = 32,433,117,346.64/198,286.70
  6. Step 6: Final answer
    x = 163,566.78

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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.