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Finding the Fourth Proportional to 276,421.14, 414,369 and 108,049.41

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Solution

The fourth proportional to 276,421.14, 414,369 and 108,049.41 is: 161,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,421.14 : 414,369 = 108,049.41 : x
  2. Step 2: Convert to fraction form
    276,421.14/414,369 = 108,049.41/x
  3. Step 3: Cross multiply
    276,421.14x = 414,369 × 108,049.41
  4. Step 4: Simplify right side
    276,421.14x = 44,772,325,972.29
  5. Step 5: Solve for x
    x = 44,772,325,972.29/276,421.14
  6. Step 6: Final answer
    x = 161,971.43

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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.