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Finding the Fourth Proportional to 225,967, 339,007.44 and 159,536.86

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Solution

The fourth proportional to 225,967, 339,007.44 and 159,536.86 is: 239,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,967 : 339,007.44 = 159,536.86 : x
  2. Step 2: Convert to fraction form
    225,967/339,007.44 = 159,536.86/x
  3. Step 3: Cross multiply
    225,967x = 339,007.44 × 159,536.86
  4. Step 4: Simplify right side
    225,967x = 54,084,182,494.24
  5. Step 5: Solve for x
    x = 54,084,182,494.24/225,967
  6. Step 6: Final answer
    x = 239,345.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.