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Finding the Fourth Proportional to 276,382.26, 414,362.70 and 86,733.24

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Solution

The fourth proportional to 276,382.26, 414,362.70 and 86,733.24 is: 130,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,382.26 : 414,362.70 = 86,733.24 : x
  2. Step 2: Convert to fraction form
    276,382.26/414,362.70 = 86,733.24/x
  3. Step 3: Cross multiply
    276,382.26x = 414,362.70 × 86,733.24
  4. Step 4: Simplify right side
    276,382.26x = 35,939,019,506.15
  5. Step 5: Solve for x
    x = 35,939,019,506.15/276,382.26
  6. Step 6: Final answer
    x = 130,033.74

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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.