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Finding the Fourth Proportional to 276,120.97, 414,188.50 and 76,443.08

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Solution

The fourth proportional to 276,120.97, 414,188.50 and 76,443.08 is: 114,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,120.97 : 414,188.50 = 76,443.08 : x
  2. Step 2: Convert to fraction form
    276,120.97/414,188.50 = 76,443.08/x
  3. Step 3: Cross multiply
    276,120.97x = 414,188.50 × 76,443.08
  4. Step 4: Simplify right side
    276,120.97x = 31,661,844,640.58
  5. Step 5: Solve for x
    x = 31,661,844,640.58/276,120.97
  6. Step 6: Final answer
    x = 114,666.57

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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.