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Finding the Fourth Proportional to 276,085.64, 414,048.42 and 107,568.39

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Solution

The fourth proportional to 276,085.64, 414,048.42 and 107,568.39 is: 161,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,085.64 : 414,048.42 = 107,568.39 : x
  2. Step 2: Convert to fraction form
    276,085.64/414,048.42 = 107,568.39/x
  3. Step 3: Cross multiply
    276,085.64x = 414,048.42 × 107,568.39
  4. Step 4: Simplify right side
    276,085.64x = 44,538,521,921.44
  5. Step 5: Solve for x
    x = 44,538,521,921.44/276,085.64
  6. Step 6: Final answer
    x = 161,321.40

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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.