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Finding the Fourth Proportional to 82,164.92, 122,923.10 and 62,231.85

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Solution

The fourth proportional to 82,164.92, 122,923.10 and 62,231.85 is: 93,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164.92 : 122,923.10 = 62,231.85 : x
  2. Step 2: Convert to fraction form
    82,164.92/122,923.10 = 62,231.85/x
  3. Step 3: Cross multiply
    82,164.92x = 122,923.10 × 62,231.85
  4. Step 4: Simplify right side
    82,164.92x = 7,649,731,920.74
  5. Step 5: Solve for x
    x = 7,649,731,920.74/82,164.92
  6. Step 6: Final answer
    x = 93,102.16

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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.