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Finding the Fourth Proportional to 129,828.27, 179,162.36 and 72,464.31

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Solution

The fourth proportional to 129,828.27, 179,162.36 and 72,464.31 is: 100,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,828.27 : 179,162.36 = 72,464.31 : x
  2. Step 2: Convert to fraction form
    129,828.27/179,162.36 = 72,464.31/x
  3. Step 3: Cross multiply
    129,828.27x = 179,162.36 × 72,464.31
  4. Step 4: Simplify right side
    129,828.27x = 12,982,876,433.05
  5. Step 5: Solve for x
    x = 12,982,876,433.05/129,828.27
  6. Step 6: Final answer
    x = 100,000.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.