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Finding the Fourth Proportional to 174,744, 262,116 and 43,416

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Solution

The fourth proportional to 174,744, 262,116 and 43,416 is: 65,124

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,744 : 262,116 = 43,416 : x
  2. Step 2: Convert to fraction form
    174,744/262,116 = 43,416/x
  3. Step 3: Cross multiply
    174,744x = 262,116 × 43,416
  4. Step 4: Simplify right side
    174,744x = 11,380,028,256
  5. Step 5: Solve for x
    x = 11,380,028,256/174,744
  6. Step 6: Final answer
    x = 65,124

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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.