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Finding the Fourth Proportional to 171,771.63, 257,536.73 and 75,663.24

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Solution

The fourth proportional to 171,771.63, 257,536.73 and 75,663.24 is: 113,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,771.63 : 257,536.73 = 75,663.24 : x
  2. Step 2: Convert to fraction form
    171,771.63/257,536.73 = 75,663.24/x
  3. Step 3: Cross multiply
    171,771.63x = 257,536.73 × 75,663.24
  4. Step 4: Simplify right side
    171,771.63x = 19,486,063,410.81
  5. Step 5: Solve for x
    x = 19,486,063,410.81/171,771.63
  6. Step 6: Final answer
    x = 113,441.69

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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.