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Finding the Fourth Proportional to 276,086.13, 414,049.16 and 107,568.89

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Solution

The fourth proportional to 276,086.13, 414,049.16 and 107,568.89 is: 161,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,086.13 : 414,049.16 = 107,568.89 : x
  2. Step 2: Convert to fraction form
    276,086.13/414,049.16 = 107,568.89/x
  3. Step 3: Cross multiply
    276,086.13x = 414,049.16 × 107,568.89
  4. Step 4: Simplify right side
    276,086.13x = 44,538,808,546.63
  5. Step 5: Solve for x
    x = 44,538,808,546.63/276,086.13
  6. Step 6: Final answer
    x = 161,322.15

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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.