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Finding the Fourth Proportional to 276,817.72, 414,964.12 and 89,698

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Solution

The fourth proportional to 276,817.72, 414,964.12 and 89,698 is: 134,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,817.72 : 414,964.12 = 89,698 : x
  2. Step 2: Convert to fraction form
    276,817.72/414,964.12 = 89,698/x
  3. Step 3: Cross multiply
    276,817.72x = 414,964.12 × 89,698
  4. Step 4: Simplify right side
    276,817.72x = 37,221,451,635.76
  5. Step 5: Solve for x
    x = 37,221,451,635.76/276,817.72
  6. Step 6: Final answer
    x = 134,461.95

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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.