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Finding the Fourth Proportional to 276,066.34, 414,119.28 and 73,661.38

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Solution

The fourth proportional to 276,066.34, 414,119.28 and 73,661.38 is: 110,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,066.34 : 414,119.28 = 73,661.38 : x
  2. Step 2: Convert to fraction form
    276,066.34/414,119.28 = 73,661.38/x
  3. Step 3: Cross multiply
    276,066.34x = 414,119.28 × 73,661.38
  4. Step 4: Simplify right side
    276,066.34x = 30,504,597,649.41
  5. Step 5: Solve for x
    x = 30,504,597,649.41/276,066.34
  6. Step 6: Final answer
    x = 110,497.35

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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.