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Finding the Fourth Proportional to 110,022, 151,830 and 59,720.64

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Solution

The fourth proportional to 110,022, 151,830 and 59,720.64 is: 82,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,022 : 151,830 = 59,720.64 : x
  2. Step 2: Convert to fraction form
    110,022/151,830 = 59,720.64/x
  3. Step 3: Cross multiply
    110,022x = 151,830 × 59,720.64
  4. Step 4: Simplify right side
    110,022x = 9,067,384,771.20
  5. Step 5: Solve for x
    x = 9,067,384,771.20/110,022
  6. Step 6: Final answer
    x = 82,414.29

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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.