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Finding the Fourth Proportional to 164,314.37, 226,548.37 and 137,129.56

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Solution

The fourth proportional to 164,314.37, 226,548.37 and 137,129.56 is: 189,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,314.37 : 226,548.37 = 137,129.56 : x
  2. Step 2: Convert to fraction form
    164,314.37/226,548.37 = 137,129.56/x
  3. Step 3: Cross multiply
    164,314.37x = 226,548.37 × 137,129.56
  4. Step 4: Simplify right side
    164,314.37x = 31,066,478,296.82
  5. Step 5: Solve for x
    x = 31,066,478,296.82/164,314.37
  6. Step 6: Final answer
    x = 189,067.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.