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Finding the Fourth Proportional to 198,826, 298,126.06 and 135,722.56

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Solution

The fourth proportional to 198,826, 298,126.06 and 135,722.56 is: 203,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,826 : 298,126.06 = 135,722.56 : x
  2. Step 2: Convert to fraction form
    198,826/298,126.06 = 135,722.56/x
  3. Step 3: Cross multiply
    198,826x = 298,126.06 × 135,722.56
  4. Step 4: Simplify right side
    198,826x = 40,462,432,065.91
  5. Step 5: Solve for x
    x = 40,462,432,065.91/198,826
  6. Step 6: Final answer
    x = 203,506.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.