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Finding the Fourth Proportional to 100,635.18, 138,879.90 and 55,314.78

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Solution

The fourth proportional to 100,635.18, 138,879.90 and 55,314.78 is: 76,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,635.18 : 138,879.90 = 55,314.78 : x
  2. Step 2: Convert to fraction form
    100,635.18/138,879.90 = 55,314.78/x
  3. Step 3: Cross multiply
    100,635.18x = 138,879.90 × 55,314.78
  4. Step 4: Simplify right side
    100,635.18x = 7,682,111,114.92
  5. Step 5: Solve for x
    x = 7,682,111,114.92/100,635.18
  6. Step 6: Final answer
    x = 76,336.24

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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.