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Finding the Fourth Proportional to 100,467.50, 138,646.94 and 55,149.70

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Solution

The fourth proportional to 100,467.50, 138,646.94 and 55,149.70 is: 76,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,467.50 : 138,646.94 = 55,149.70 : x
  2. Step 2: Convert to fraction form
    100,467.50/138,646.94 = 55,149.70/x
  3. Step 3: Cross multiply
    100,467.50x = 138,646.94 × 55,149.70
  4. Step 4: Simplify right side
    100,467.50x = 7,646,337,146.92
  5. Step 5: Solve for x
    x = 7,646,337,146.92/100,467.50
  6. Step 6: Final answer
    x = 76,107.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.