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Finding the Fourth Proportional to 276,463.26, 414,680.31 and 136,174.50

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Solution

The fourth proportional to 276,463.26, 414,680.31 and 136,174.50 is: 204,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,463.26 : 414,680.31 = 136,174.50 : x
  2. Step 2: Convert to fraction form
    276,463.26/414,680.31 = 136,174.50/x
  3. Step 3: Cross multiply
    276,463.26x = 414,680.31 × 136,174.50
  4. Step 4: Simplify right side
    276,463.26x = 56,468,883,874.10
  5. Step 5: Solve for x
    x = 56,468,883,874.10/276,463.26
  6. Step 6: Final answer
    x = 204,254.57

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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.