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Finding the Fourth Proportional to 109,399.85, 164,006.17 and 41,980.27

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Solution

The fourth proportional to 109,399.85, 164,006.17 and 41,980.27 is: 62,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,399.85 : 164,006.17 = 41,980.27 : x
  2. Step 2: Convert to fraction form
    109,399.85/164,006.17 = 41,980.27/x
  3. Step 3: Cross multiply
    109,399.85x = 164,006.17 × 41,980.27
  4. Step 4: Simplify right side
    109,399.85x = 6,885,022,268.33
  5. Step 5: Solve for x
    x = 6,885,022,268.33/109,399.85
  6. Step 6: Final answer
    x = 62,934.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.