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Finding the Fourth Proportional to 171,814.30, 257,617.90 and 77,027.34

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Solution

The fourth proportional to 171,814.30, 257,617.90 and 77,027.34 is: 115,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,814.30 : 257,617.90 = 77,027.34 : x
  2. Step 2: Convert to fraction form
    171,814.30/257,617.90 = 77,027.34/x
  3. Step 3: Cross multiply
    171,814.30x = 257,617.90 × 77,027.34
  4. Step 4: Simplify right side
    171,814.30x = 19,843,621,573.39
  5. Step 5: Solve for x
    x = 19,843,621,573.39/171,814.30
  6. Step 6: Final answer
    x = 115,494.59

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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.