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Finding the Fourth Proportional to 276,394.52, 414,329.30 and 108,022.86

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Solution

The fourth proportional to 276,394.52, 414,329.30 and 108,022.86 is: 161,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,394.52 : 414,329.30 = 108,022.86 : x
  2. Step 2: Convert to fraction form
    276,394.52/414,329.30 = 108,022.86/x
  3. Step 3: Cross multiply
    276,394.52x = 414,329.30 × 108,022.86
  4. Step 4: Simplify right side
    276,394.52x = 44,757,035,967.80
  5. Step 5: Solve for x
    x = 44,757,035,967.80/276,394.52
  6. Step 6: Final answer
    x = 161,931.71

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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.