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Finding the Fourth Proportional to 257,690.86, 386,536.26 and 151,236.80

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Solution

The fourth proportional to 257,690.86, 386,536.26 and 151,236.80 is: 226,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690.86 : 386,536.26 = 151,236.80 : x
  2. Step 2: Convert to fraction form
    257,690.86/386,536.26 = 151,236.80/x
  3. Step 3: Cross multiply
    257,690.86x = 386,536.26 × 151,236.80
  4. Step 4: Simplify right side
    257,690.86x = 58,458,507,046.37
  5. Step 5: Solve for x
    x = 58,458,507,046.37/257,690.86
  6. Step 6: Final answer
    x = 226,855.18

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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.