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Finding the Fourth Proportional to 276,813.72, 414,958.14 and 89,694

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Solution

The fourth proportional to 276,813.72, 414,958.14 and 89,694 is: 134,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,813.72 : 414,958.14 = 89,694 : x
  2. Step 2: Convert to fraction form
    276,813.72/414,958.14 = 89,694/x
  3. Step 3: Cross multiply
    276,813.72x = 414,958.14 × 89,694
  4. Step 4: Simplify right side
    276,813.72x = 37,219,255,409.16
  5. Step 5: Solve for x
    x = 37,219,255,409.16/276,813.72
  6. Step 6: Final answer
    x = 134,455.96

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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.