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Finding the Fourth Proportional to 164,707.20, 227,296 and 89,255.36

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Solution

The fourth proportional to 164,707.20, 227,296 and 89,255.36 is: 123,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,707.20 : 227,296 = 89,255.36 : x
  2. Step 2: Convert to fraction form
    164,707.20/227,296 = 89,255.36/x
  3. Step 3: Cross multiply
    164,707.20x = 227,296 × 89,255.36
  4. Step 4: Simplify right side
    164,707.20x = 20,287,386,306.56
  5. Step 5: Solve for x
    x = 20,287,386,306.56/164,707.20
  6. Step 6: Final answer
    x = 123,172.43

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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.