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Finding the Fourth Proportional to 164,619, 227,174.31 and 89,167.50

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Solution

The fourth proportional to 164,619, 227,174.31 and 89,167.50 is: 123,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,619 : 227,174.31 = 89,167.50 : x
  2. Step 2: Convert to fraction form
    164,619/227,174.31 = 89,167.50/x
  3. Step 3: Cross multiply
    164,619x = 227,174.31 × 89,167.50
  4. Step 4: Simplify right side
    164,619x = 20,256,565,286.93
  5. Step 5: Solve for x
    x = 20,256,565,286.93/164,619
  6. Step 6: Final answer
    x = 123,051.20

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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.