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Finding the Fourth Proportional to 171,814.56, 257,618.25 and 77,027.60

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Solution

The fourth proportional to 171,814.56, 257,618.25 and 77,027.60 is: 115,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,814.56 : 257,618.25 = 77,027.60 : x
  2. Step 2: Convert to fraction form
    171,814.56/257,618.25 = 77,027.60/x
  3. Step 3: Cross multiply
    171,814.56x = 257,618.25 × 77,027.60
  4. Step 4: Simplify right side
    171,814.56x = 19,843,715,513.70
  5. Step 5: Solve for x
    x = 19,843,715,513.70/171,814.56
  6. Step 6: Final answer
    x = 115,494.96

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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.