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Finding the Fourth Proportional to 100,906.52, 139,250.96 and 58,489.64

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Solution

The fourth proportional to 100,906.52, 139,250.96 and 58,489.64 is: 80,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,906.52 : 139,250.96 = 58,489.64 : x
  2. Step 2: Convert to fraction form
    100,906.52/139,250.96 = 58,489.64/x
  3. Step 3: Cross multiply
    100,906.52x = 139,250.96 × 58,489.64
  4. Step 4: Simplify right side
    100,906.52x = 8,144,738,520.05
  5. Step 5: Solve for x
    x = 8,144,738,520.05/100,906.52
  6. Step 6: Final answer
    x = 80,715.68

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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.