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Finding the Fourth Proportional to 276,079, 414,127.71 and 76,382.68

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Solution

The fourth proportional to 276,079, 414,127.71 and 76,382.68 is: 114,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,079 : 414,127.71 = 76,382.68 : x
  2. Step 2: Convert to fraction form
    276,079/414,127.71 = 76,382.68/x
  3. Step 3: Cross multiply
    276,079x = 414,127.71 × 76,382.68
  4. Step 4: Simplify right side
    276,079x = 31,632,184,352.06
  5. Step 5: Solve for x
    x = 31,632,184,352.06/276,079
  6. Step 6: Final answer
    x = 114,576.57

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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.