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Finding the Fourth Proportional to 198,924, 298,386 and 67,596

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Solution

The fourth proportional to 198,924, 298,386 and 67,596 is: 101,394

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,924 : 298,386 = 67,596 : x
  2. Step 2: Convert to fraction form
    198,924/298,386 = 67,596/x
  3. Step 3: Cross multiply
    198,924x = 298,386 × 67,596
  4. Step 4: Simplify right side
    198,924x = 20,169,700,056
  5. Step 5: Solve for x
    x = 20,169,700,056/198,924
  6. Step 6: Final answer
    x = 101,394

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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.