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Finding the Fourth Proportional to 199,306.32, 298,959.50 and 80,977.74

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Solution

The fourth proportional to 199,306.32, 298,959.50 and 80,977.74 is: 121,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,306.32 : 298,959.50 = 80,977.74 : x
  2. Step 2: Convert to fraction form
    199,306.32/298,959.50 = 80,977.74/x
  3. Step 3: Cross multiply
    199,306.32x = 298,959.50 × 80,977.74
  4. Step 4: Simplify right side
    199,306.32x = 24,209,062,761.84
  5. Step 5: Solve for x
    x = 24,209,062,761.84/199,306.32
  6. Step 6: Final answer
    x = 121,466.61

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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.