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Finding the Fourth Proportional to 100,682.25, 138,929.99 and 80,531.79

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Solution

The fourth proportional to 100,682.25, 138,929.99 and 80,531.79 is: 111,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,682.25 : 138,929.99 = 80,531.79 : x
  2. Step 2: Convert to fraction form
    100,682.25/138,929.99 = 80,531.79/x
  3. Step 3: Cross multiply
    100,682.25x = 138,929.99 × 80,531.79
  4. Step 4: Simplify right side
    100,682.25x = 11,188,280,779.38
  5. Step 5: Solve for x
    x = 11,188,280,779.38/100,682.25
  6. Step 6: Final answer
    x = 111,124.66

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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.