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Finding the Fourth Proportional to 174,771, 262,157.46 and 43,443

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Solution

The fourth proportional to 174,771, 262,157.46 and 43,443 is: 65,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,771 : 262,157.46 = 43,443 : x
  2. Step 2: Convert to fraction form
    174,771/262,157.46 = 43,443/x
  3. Step 3: Cross multiply
    174,771x = 262,157.46 × 43,443
  4. Step 4: Simplify right side
    174,771x = 11,388,906,534.78
  5. Step 5: Solve for x
    x = 11,388,906,534.78/174,771
  6. Step 6: Final answer
    x = 65,164.74

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