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Finding the Fourth Proportional to 164,739.50, 227,340.70 and 89,288.00

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Solution

The fourth proportional to 164,739.50, 227,340.70 and 89,288.00 is: 123,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,739.50 : 227,340.70 = 89,288.00 : x
  2. Step 2: Convert to fraction form
    164,739.50/227,340.70 = 89,288.00/x
  3. Step 3: Cross multiply
    164,739.50x = 227,340.70 × 89,288.00
  4. Step 4: Simplify right side
    164,739.50x = 20,298,795,061.68
  5. Step 5: Solve for x
    x = 20,298,795,061.68/164,739.50
  6. Step 6: Final answer
    x = 123,217.54

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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.