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Finding the Fourth Proportional to 82,126.80, 122,596.18 and 72,162.29

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Solution

The fourth proportional to 82,126.80, 122,596.18 and 72,162.29 is: 107,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,126.80 : 122,596.18 = 72,162.29 : x
  2. Step 2: Convert to fraction form
    82,126.80/122,596.18 = 72,162.29/x
  3. Step 3: Cross multiply
    82,126.80x = 122,596.18 × 72,162.29
  4. Step 4: Simplify right side
    82,126.80x = 8,846,821,220.14
  5. Step 5: Solve for x
    x = 8,846,821,220.14/82,126.80
  6. Step 6: Final answer
    x = 107,721.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.