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Finding the Fourth Proportional to 276,048.26, 414,025.40 and 89,059.76

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Solution

The fourth proportional to 276,048.26, 414,025.40 and 89,059.76 is: 133,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,048.26 : 414,025.40 = 89,059.76 : x
  2. Step 2: Convert to fraction form
    276,048.26/414,025.40 = 89,059.76/x
  3. Step 3: Cross multiply
    276,048.26x = 414,025.40 × 89,059.76
  4. Step 4: Simplify right side
    276,048.26x = 36,873,002,757.90
  5. Step 5: Solve for x
    x = 36,873,002,757.90/276,048.26
  6. Step 6: Final answer
    x = 133,574.48

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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.