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Finding the Fourth Proportional to 82,110.92, 122,926.48 and 74,231.64

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Solution

The fourth proportional to 82,110.92, 122,926.48 and 74,231.64 is: 111,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,110.92 : 122,926.48 = 74,231.64 : x
  2. Step 2: Convert to fraction form
    82,110.92/122,926.48 = 74,231.64/x
  3. Step 3: Cross multiply
    82,110.92x = 122,926.48 × 74,231.64
  4. Step 4: Simplify right side
    82,110.92x = 9,125,034,024.25
  5. Step 5: Solve for x
    x = 9,125,034,024.25/82,110.92
  6. Step 6: Final answer
    x = 111,130.59

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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.