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Finding the Fourth Proportional to 100,160.97, 138,216.89 and 54,830.27

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Solution

The fourth proportional to 100,160.97, 138,216.89 and 54,830.27 is: 75,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,160.97 : 138,216.89 = 54,830.27 : x
  2. Step 2: Convert to fraction form
    100,160.97/138,216.89 = 54,830.27/x
  3. Step 3: Cross multiply
    100,160.97x = 138,216.89 × 54,830.27
  4. Step 4: Simplify right side
    100,160.97x = 7,578,469,879.88
  5. Step 5: Solve for x
    x = 7,578,469,879.88/100,160.97
  6. Step 6: Final answer
    x = 75,662.90

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1.5x scale

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.