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Finding the Fourth Proportional to 276,016.84, 414,025.32 and 89,028.40

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Solution

The fourth proportional to 276,016.84, 414,025.32 and 89,028.40 is: 133,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,016.84 : 414,025.32 = 89,028.40 : x
  2. Step 2: Convert to fraction form
    276,016.84/414,025.32 = 89,028.40/x
  3. Step 3: Cross multiply
    276,016.84x = 414,025.32 × 89,028.40
  4. Step 4: Simplify right side
    276,016.84x = 36,860,011,799.09
  5. Step 5: Solve for x
    x = 36,860,011,799.09/276,016.84
  6. Step 6: Final answer
    x = 133,542.62

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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.